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Finding the Fourth Proportional to 498,627.90, 692,751.92 and 492,649.20

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Solution

The fourth proportional to 498,627.90, 692,751.92 and 492,649.20 is: 684,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,627.90 : 692,751.92 = 492,649.20 : x
  2. Step 2: Convert to fraction form
    498,627.90/692,751.92 = 492,649.20/x
  3. Step 3: Cross multiply
    498,627.90x = 692,751.92 × 492,649.20
  4. Step 4: Simplify right side
    498,627.90x = 341,283,679,186.46
  5. Step 5: Solve for x
    x = 341,283,679,186.46/498,627.90
  6. Step 6: Final answer
    x = 684,445.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.