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Finding the Fourth Proportional to 1,316,578,608.09, 1,974,565,709.06 and 784,940,462.78

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Solution

The fourth proportional to 1,316,578,608.09, 1,974,565,709.06 and 784,940,462.78 is: 1,177,230,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,578,608.09 : 1,974,565,709.06 = 784,940,462.78 : x
  2. Step 2: Convert to fraction form
    1,316,578,608.09/1,974,565,709.06 = 784,940,462.78/x
  3. Step 3: Cross multiply
    1,316,578,608.09x = 1,974,565,709.06 × 784,940,462.78
  4. Step 4: Simplify right side
    1,316,578,608.09x = 1,549,916,521,445,277,696
  5. Step 5: Solve for x
    x = 1,549,916,521,445,277,696/1,316,578,608.09
  6. Step 6: Final answer
    x = 1,177,230,521.54

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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.