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Finding the Fourth Proportional to 498,437.84, 687,831 and 458,313.68

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Solution

The fourth proportional to 498,437.84, 687,831 and 458,313.68 is: 632,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,437.84 : 687,831 = 458,313.68 : x
  2. Step 2: Convert to fraction form
    498,437.84/687,831 = 458,313.68/x
  3. Step 3: Cross multiply
    498,437.84x = 687,831 × 458,313.68
  4. Step 4: Simplify right side
    498,437.84x = 315,242,356,828.08
  5. Step 5: Solve for x
    x = 315,242,356,828.08/498,437.84
  6. Step 6: Final answer
    x = 632,460.72

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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.