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Finding the Fourth Proportional to 643,529.60, 965,294.40 and 407,139.20

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Solution

The fourth proportional to 643,529.60, 965,294.40 and 407,139.20 is: 610,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,529.60 : 965,294.40 = 407,139.20 : x
  2. Step 2: Convert to fraction form
    643,529.60/965,294.40 = 407,139.20/x
  3. Step 3: Cross multiply
    643,529.60x = 965,294.40 × 407,139.20
  4. Step 4: Simplify right side
    643,529.60x = 393,009,189,780.48
  5. Step 5: Solve for x
    x = 393,009,189,780.48/643,529.60
  6. Step 6: Final answer
    x = 610,708.80

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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.