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Finding the Fourth Proportional to 423,417.60, 635,184.64 and 157,155.52

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Solution

The fourth proportional to 423,417.60, 635,184.64 and 157,155.52 is: 235,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,417.60 : 635,184.64 = 157,155.52 : x
  2. Step 2: Convert to fraction form
    423,417.60/635,184.64 = 157,155.52/x
  3. Step 3: Cross multiply
    423,417.60x = 635,184.64 × 157,155.52
  4. Step 4: Simplify right side
    423,417.60x = 99,822,772,395.21
  5. Step 5: Solve for x
    x = 99,822,772,395.21/423,417.60
  6. Step 6: Final answer
    x = 235,754.90

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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.