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Finding the Fourth Proportional to 1,316,578,611.09, 1,974,565,713.54 and 784,940,465.79

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Solution

The fourth proportional to 1,316,578,611.09, 1,974,565,713.54 and 784,940,465.79 is: 1,177,230,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,578,611.09 : 1,974,565,713.54 = 784,940,465.79 : x
  2. Step 2: Convert to fraction form
    1,316,578,611.09/1,974,565,713.54 = 784,940,465.79/x
  3. Step 3: Cross multiply
    1,316,578,611.09x = 1,974,565,713.54 × 784,940,465.79
  4. Step 4: Simplify right side
    1,316,578,611.09x = 1,549,916,530,919,051,264
  5. Step 5: Solve for x
    x = 1,549,916,530,919,051,264/1,316,578,611.09
  6. Step 6: Final answer
    x = 1,177,230,526.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.