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Finding the Fourth Proportional to 458,686.40, 688,029.60 and 417,352.10

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Solution

The fourth proportional to 458,686.40, 688,029.60 and 417,352.10 is: 626,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,686.40 : 688,029.60 = 417,352.10 : x
  2. Step 2: Convert to fraction form
    458,686.40/688,029.60 = 417,352.10/x
  3. Step 3: Cross multiply
    458,686.40x = 688,029.60 × 417,352.10
  4. Step 4: Simplify right side
    458,686.40x = 287,150,598,422.16
  5. Step 5: Solve for x
    x = 287,150,598,422.16/458,686.40
  6. Step 6: Final answer
    x = 626,028.15

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Similar ratio
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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.