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Finding the Fourth Proportional to 389,045.53, 537,062.12 and 274,417.57

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Solution

The fourth proportional to 389,045.53, 537,062.12 and 274,417.57 is: 378,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,045.53 : 537,062.12 = 274,417.57 : x
  2. Step 2: Convert to fraction form
    389,045.53/537,062.12 = 274,417.57/x
  3. Step 3: Cross multiply
    389,045.53x = 537,062.12 × 274,417.57
  4. Step 4: Simplify right side
    389,045.53x = 147,379,281,909.45
  5. Step 5: Solve for x
    x = 147,379,281,909.45/389,045.53
  6. Step 6: Final answer
    x = 378,822.71

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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.