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Finding the Fourth Proportional to 458,451.34, 687,685.54 and 158,941.70

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Solution

The fourth proportional to 458,451.34, 687,685.54 and 158,941.70 is: 238,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,451.34 : 687,685.54 = 158,941.70 : x
  2. Step 2: Convert to fraction form
    458,451.34/687,685.54 = 158,941.70/x
  3. Step 3: Cross multiply
    458,451.34x = 687,685.54 × 158,941.70
  4. Step 4: Simplify right side
    458,451.34x = 109,301,908,793.02
  5. Step 5: Solve for x
    x = 109,301,908,793.02/458,451.34
  6. Step 6: Final answer
    x = 238,415.51

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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.