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Finding the Fourth Proportional to 659,150.52, 909,724.80 and 417,455.60

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Solution

The fourth proportional to 659,150.52, 909,724.80 and 417,455.60 is: 576,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,150.52 : 909,724.80 = 417,455.60 : x
  2. Step 2: Convert to fraction form
    659,150.52/909,724.80 = 417,455.60/x
  3. Step 3: Cross multiply
    659,150.52x = 909,724.80 × 417,455.60
  4. Step 4: Simplify right side
    659,150.52x = 379,769,712,218.88
  5. Step 5: Solve for x
    x = 379,769,712,218.88/659,150.52
  6. Step 6: Final answer
    x = 576,150.21

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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.