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Finding the Fourth Proportional to 458,639.88, 688,078.62 and 174,335.28

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Solution

The fourth proportional to 458,639.88, 688,078.62 and 174,335.28 is: 261,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,639.88 : 688,078.62 = 174,335.28 : x
  2. Step 2: Convert to fraction form
    458,639.88/688,078.62 = 174,335.28/x
  3. Step 3: Cross multiply
    458,639.88x = 688,078.62 × 174,335.28
  4. Step 4: Simplify right side
    458,639.88x = 119,956,378,879.71
  5. Step 5: Solve for x
    x = 119,956,378,879.71/458,639.88
  6. Step 6: Final answer
    x = 261,548.08

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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.