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Finding the Fourth Proportional to 517,462.55, 776,139.21 and 138,421.53

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Solution

The fourth proportional to 517,462.55, 776,139.21 and 138,421.53 is: 207,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,462.55 : 776,139.21 = 138,421.53 : x
  2. Step 2: Convert to fraction form
    517,462.55/776,139.21 = 138,421.53/x
  3. Step 3: Cross multiply
    517,462.55x = 776,139.21 × 138,421.53
  4. Step 4: Simplify right side
    517,462.55x = 107,434,376,941.19
  5. Step 5: Solve for x
    x = 107,434,376,941.19/517,462.55
  6. Step 6: Final answer
    x = 207,617.69

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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.