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Finding the Fourth Proportional to 415,542.64, 623,350.41 and 304,603.42

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Solution

The fourth proportional to 415,542.64, 623,350.41 and 304,603.42 is: 456,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,542.64 : 623,350.41 = 304,603.42 : x
  2. Step 2: Convert to fraction form
    415,542.64/623,350.41 = 304,603.42/x
  3. Step 3: Cross multiply
    415,542.64x = 623,350.41 × 304,603.42
  4. Step 4: Simplify right side
    415,542.64x = 189,874,666,744.40
  5. Step 5: Solve for x
    x = 189,874,666,744.40/415,542.64
  6. Step 6: Final answer
    x = 456,931.85

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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.