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Finding the Fourth Proportional to 314,622.80, 472,241.40 and 157,029.20

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Solution

The fourth proportional to 314,622.80, 472,241.40 and 157,029.20 is: 235,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,622.80 : 472,241.40 = 157,029.20 : x
  2. Step 2: Convert to fraction form
    314,622.80/472,241.40 = 157,029.20/x
  3. Step 3: Cross multiply
    314,622.80x = 472,241.40 × 157,029.20
  4. Step 4: Simplify right side
    314,622.80x = 74,155,689,248.88
  5. Step 5: Solve for x
    x = 74,155,689,248.88/314,622.80
  6. Step 6: Final answer
    x = 235,697.12

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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.