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Finding the Fourth Proportional to 428,937.57, 643,410.69 and 129,420.63

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Solution

The fourth proportional to 428,937.57, 643,410.69 and 129,420.63 is: 194,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,937.57 : 643,410.69 = 129,420.63 : x
  2. Step 2: Convert to fraction form
    428,937.57/643,410.69 = 129,420.63/x
  3. Step 3: Cross multiply
    428,937.57x = 643,410.69 × 129,420.63
  4. Step 4: Simplify right side
    428,937.57x = 83,270,616,848.53
  5. Step 5: Solve for x
    x = 83,270,616,848.53/428,937.57
  6. Step 6: Final answer
    x = 194,132.25

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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.