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Finding the Fourth Proportional to 458,274.32, 687,403.91 and 188,347.76

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Solution

The fourth proportional to 458,274.32, 687,403.91 and 188,347.76 is: 282,518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,274.32 : 687,403.91 = 188,347.76 : x
  2. Step 2: Convert to fraction form
    458,274.32/687,403.91 = 188,347.76/x
  3. Step 3: Cross multiply
    458,274.32x = 687,403.91 × 188,347.76
  4. Step 4: Simplify right side
    458,274.32x = 129,470,982,284.98
  5. Step 5: Solve for x
    x = 129,470,982,284.98/458,274.32
  6. Step 6: Final answer
    x = 282,518.52

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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.