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Finding the Fourth Proportional to 458,810.60, 688,215.90 and 391,159.40

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Solution

The fourth proportional to 458,810.60, 688,215.90 and 391,159.40 is: 586,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,810.60 : 688,215.90 = 391,159.40 : x
  2. Step 2: Convert to fraction form
    458,810.60/688,215.90 = 391,159.40/x
  3. Step 3: Cross multiply
    458,810.60x = 688,215.90 × 391,159.40
  4. Step 4: Simplify right side
    458,810.60x = 269,202,118,514.46
  5. Step 5: Solve for x
    x = 269,202,118,514.46/458,810.60
  6. Step 6: Final answer
    x = 586,739.10

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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.