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Finding the Fourth Proportional to 784,926, 1,177,564.50 and 286,290

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Solution

The fourth proportional to 784,926, 1,177,564.50 and 286,290 is: 429,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,926 : 1,177,564.50 = 286,290 : x
  2. Step 2: Convert to fraction form
    784,926/1,177,564.50 = 286,290/x
  3. Step 3: Cross multiply
    784,926x = 1,177,564.50 × 286,290
  4. Step 4: Simplify right side
    784,926x = 337,124,940,705
  5. Step 5: Solve for x
    x = 337,124,940,705/784,926
  6. Step 6: Final answer
    x = 429,499.01

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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.