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Finding the Fourth Proportional to 478,913.28, 717,900.48 and 407,996.16

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Solution

The fourth proportional to 478,913.28, 717,900.48 and 407,996.16 is: 611,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,913.28 : 717,900.48 = 407,996.16 : x
  2. Step 2: Convert to fraction form
    478,913.28/717,900.48 = 407,996.16/x
  3. Step 3: Cross multiply
    478,913.28x = 717,900.48 × 407,996.16
  4. Step 4: Simplify right side
    478,913.28x = 292,900,639,102.16
  5. Step 5: Solve for x
    x = 292,900,639,102.16/478,913.28
  6. Step 6: Final answer
    x = 611,594.31

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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.