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Finding the Fourth Proportional to 499,059.36, 688,772.16 and 317,713.32

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Solution

The fourth proportional to 499,059.36, 688,772.16 and 317,713.32 is: 438,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,059.36 : 688,772.16 = 317,713.32 : x
  2. Step 2: Convert to fraction form
    499,059.36/688,772.16 = 317,713.32/x
  3. Step 3: Cross multiply
    499,059.36x = 688,772.16 × 317,713.32
  4. Step 4: Simplify right side
    499,059.36x = 218,832,089,677.17
  5. Step 5: Solve for x
    x = 218,832,089,677.17/499,059.36
  6. Step 6: Final answer
    x = 438,489.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.