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Finding the Fourth Proportional to 406,406.64, 609,438.78 and 153,644.52

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Solution

The fourth proportional to 406,406.64, 609,438.78 and 153,644.52 is: 230,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,406.64 : 609,438.78 = 153,644.52 : x
  2. Step 2: Convert to fraction form
    406,406.64/609,438.78 = 153,644.52/x
  3. Step 3: Cross multiply
    406,406.64x = 609,438.78 × 153,644.52
  4. Step 4: Simplify right side
    406,406.64x = 93,636,928,822.49
  5. Step 5: Solve for x
    x = 93,636,928,822.49/406,406.64
  6. Step 6: Final answer
    x = 230,402.06

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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.