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Finding the Fourth Proportional to 314,845.62, 472,129.47 and 90,155.04

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Solution

The fourth proportional to 314,845.62, 472,129.47 and 90,155.04 is: 135,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,845.62 : 472,129.47 = 90,155.04 : x
  2. Step 2: Convert to fraction form
    314,845.62/472,129.47 = 90,155.04/x
  3. Step 3: Cross multiply
    314,845.62x = 472,129.47 × 90,155.04
  4. Step 4: Simplify right side
    314,845.62x = 42,564,851,253.03
  5. Step 5: Solve for x
    x = 42,564,851,253.03/314,845.62
  6. Step 6: Final answer
    x = 135,192.77

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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.