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Finding the Fourth Proportional to 458,671.80, 688,007.70 and 390,765.45

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Solution

The fourth proportional to 458,671.80, 688,007.70 and 390,765.45 is: 586,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,671.80 : 688,007.70 = 390,765.45 : x
  2. Step 2: Convert to fraction form
    458,671.80/688,007.70 = 390,765.45/x
  3. Step 3: Cross multiply
    458,671.80x = 688,007.70 × 390,765.45
  4. Step 4: Simplify right side
    458,671.80x = 268,849,638,493.97
  5. Step 5: Solve for x
    x = 268,849,638,493.97/458,671.80
  6. Step 6: Final answer
    x = 586,148.18

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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.