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Finding the Fourth Proportional to 458,694.90, 688,042.35 and 417,360.60

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Solution

The fourth proportional to 458,694.90, 688,042.35 and 417,360.60 is: 626,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,694.90 : 688,042.35 = 417,360.60 : x
  2. Step 2: Convert to fraction form
    458,694.90/688,042.35 = 417,360.60/x
  3. Step 3: Cross multiply
    458,694.90x = 688,042.35 × 417,360.60
  4. Step 4: Simplify right side
    458,694.90x = 287,161,768,021.41
  5. Step 5: Solve for x
    x = 287,161,768,021.41/458,694.90
  6. Step 6: Final answer
    x = 626,040.90

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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.