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Finding the Fourth Proportional to 498,438.84, 687,832.38 and 458,314.68

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Solution

The fourth proportional to 498,438.84, 687,832.38 and 458,314.68 is: 632,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,438.84 : 687,832.38 = 458,314.68 : x
  2. Step 2: Convert to fraction form
    498,438.84/687,832.38 = 458,314.68/x
  3. Step 3: Cross multiply
    498,438.84x = 687,832.38 × 458,314.68
  4. Step 4: Simplify right side
    498,438.84x = 315,243,677,133.34
  5. Step 5: Solve for x
    x = 315,243,677,133.34/498,438.84
  6. Step 6: Final answer
    x = 632,462.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.