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Finding the Fourth Proportional to 458,416.55, 687,469.10 and 158,827.18

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Solution

The fourth proportional to 458,416.55, 687,469.10 and 158,827.18 is: 238,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,416.55 : 687,469.10 = 158,827.18 : x
  2. Step 2: Convert to fraction form
    458,416.55/687,469.10 = 158,827.18/x
  3. Step 3: Cross multiply
    458,416.55x = 687,469.10 × 158,827.18
  4. Step 4: Simplify right side
    458,416.55x = 109,188,778,490.14
  5. Step 5: Solve for x
    x = 109,188,778,490.14/458,416.55
  6. Step 6: Final answer
    x = 238,186.82

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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.