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Finding the Fourth Proportional to 512,483.10, 707,211.99 and 286,123.74

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Solution

The fourth proportional to 512,483.10, 707,211.99 and 286,123.74 is: 394,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,483.10 : 707,211.99 = 286,123.74 : x
  2. Step 2: Convert to fraction form
    512,483.10/707,211.99 = 286,123.74/x
  3. Step 3: Cross multiply
    512,483.10x = 707,211.99 × 286,123.74
  4. Step 4: Simplify right side
    512,483.10x = 202,350,139,551.64
  5. Step 5: Solve for x
    x = 202,350,139,551.64/512,483.10
  6. Step 6: Final answer
    x = 394,842.56

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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.