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Finding the Fourth Proportional to 659,489.28, 909,760.32 and 417,363.84

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Solution

The fourth proportional to 659,489.28, 909,760.32 and 417,363.84 is: 575,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,489.28 : 909,760.32 = 417,363.84 : x
  2. Step 2: Convert to fraction form
    659,489.28/909,760.32 = 417,363.84/x
  3. Step 3: Cross multiply
    659,489.28x = 909,760.32 × 417,363.84
  4. Step 4: Simplify right side
    659,489.28x = 379,701,060,634.83
  5. Step 5: Solve for x
    x = 379,701,060,634.83/659,489.28
  6. Step 6: Final answer
    x = 575,750.16

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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.