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Finding the Fourth Proportional to 650,438.78, 975,658.15 and 428,770.94

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Solution

The fourth proportional to 650,438.78, 975,658.15 and 428,770.94 is: 643,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,438.78 : 975,658.15 = 428,770.94 : x
  2. Step 2: Convert to fraction form
    650,438.78/975,658.15 = 428,770.94/x
  3. Step 3: Cross multiply
    650,438.78x = 975,658.15 × 428,770.94
  4. Step 4: Simplify right side
    650,438.78x = 418,333,862,094.16
  5. Step 5: Solve for x
    x = 418,333,862,094.16/650,438.78
  6. Step 6: Final answer
    x = 643,156.40

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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.