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Finding the Fourth Proportional to 642,728.40, 965,129.40 and 433,294.80

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Solution

The fourth proportional to 642,728.40, 965,129.40 and 433,294.80 is: 650,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,728.40 : 965,129.40 = 433,294.80 : x
  2. Step 2: Convert to fraction form
    642,728.40/965,129.40 = 433,294.80/x
  3. Step 3: Cross multiply
    642,728.40x = 965,129.40 × 433,294.80
  4. Step 4: Simplify right side
    642,728.40x = 418,185,550,347.12
  5. Step 5: Solve for x
    x = 418,185,550,347.12/642,728.40
  6. Step 6: Final answer
    x = 650,641.16

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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.