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Finding the Fourth Proportional to 542,156.52, 812,130.32 and 256,982.70

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Solution

The fourth proportional to 542,156.52, 812,130.32 and 256,982.70 is: 384,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,156.52 : 812,130.32 = 256,982.70 : x
  2. Step 2: Convert to fraction form
    542,156.52/812,130.32 = 256,982.70/x
  3. Step 3: Cross multiply
    542,156.52x = 812,130.32 × 256,982.70
  4. Step 4: Simplify right side
    542,156.52x = 208,703,442,385.46
  5. Step 5: Solve for x
    x = 208,703,442,385.46/542,156.52
  6. Step 6: Final answer
    x = 384,950.53

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1.5x scale

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.