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Finding the Fourth Proportional to 428,957.77, 643,420.48 and 129,430.35

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Solution

The fourth proportional to 428,957.77, 643,420.48 and 129,430.35 is: 194,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,957.77 : 643,420.48 = 129,430.35 : x
  2. Step 2: Convert to fraction form
    428,957.77/643,420.48 = 129,430.35/x
  3. Step 3: Cross multiply
    428,957.77x = 643,420.48 × 129,430.35
  4. Step 4: Simplify right side
    428,957.77x = 83,278,137,923.57
  5. Step 5: Solve for x
    x = 83,278,137,923.57/428,957.77
  6. Step 6: Final answer
    x = 194,140.64

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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.