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Finding the Fourth Proportional to 423,709.98, 635,565 and 157,537.50

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Solution

The fourth proportional to 423,709.98, 635,565 and 157,537.50 is: 236,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,709.98 : 635,565 = 157,537.50 : x
  2. Step 2: Convert to fraction form
    423,709.98/635,565 = 157,537.50/x
  3. Step 3: Cross multiply
    423,709.98x = 635,565 × 157,537.50
  4. Step 4: Simplify right side
    423,709.98x = 100,125,321,187.50
  5. Step 5: Solve for x
    x = 100,125,321,187.50/423,709.98
  6. Step 6: Final answer
    x = 236,306.26

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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.