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Finding the Fourth Proportional to 458,188.80, 687,118.40 and 158,588

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Solution

The fourth proportional to 458,188.80, 687,118.40 and 158,588 is: 237,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,188.80 : 687,118.40 = 158,588 : x
  2. Step 2: Convert to fraction form
    458,188.80/687,118.40 = 158,588/x
  3. Step 3: Cross multiply
    458,188.80x = 687,118.40 × 158,588
  4. Step 4: Simplify right side
    458,188.80x = 108,968,732,819.20
  5. Step 5: Solve for x
    x = 108,968,732,819.20/458,188.80
  6. Step 6: Final answer
    x = 237,824.96

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1.5x scale

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.