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Finding the Fourth Proportional to 708,503.64, 977,686.17 and 398,452.59

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Solution

The fourth proportional to 708,503.64, 977,686.17 and 398,452.59 is: 549,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,503.64 : 977,686.17 = 398,452.59 : x
  2. Step 2: Convert to fraction form
    708,503.64/977,686.17 = 398,452.59/x
  3. Step 3: Cross multiply
    708,503.64x = 977,686.17 × 398,452.59
  4. Step 4: Simplify right side
    708,503.64x = 389,561,586,643.68
  5. Step 5: Solve for x
    x = 389,561,586,643.68/708,503.64
  6. Step 6: Final answer
    x = 549,837.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.