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Finding the Fourth Proportional to 458,697.84, 687,345.12 and 192,312.96

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Solution

The fourth proportional to 458,697.84, 687,345.12 and 192,312.96 is: 288,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,697.84 : 687,345.12 = 192,312.96 : x
  2. Step 2: Convert to fraction form
    458,697.84/687,345.12 = 192,312.96/x
  3. Step 3: Cross multiply
    458,697.84x = 687,345.12 × 192,312.96
  4. Step 4: Simplify right side
    458,697.84x = 132,185,374,568.76
  5. Step 5: Solve for x
    x = 132,185,374,568.76/458,697.84
  6. Step 6: Final answer
    x = 288,175.27

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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.