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Finding the Fourth Proportional to 284,507.15, 392,615.28 and 155,442.85

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Solution

The fourth proportional to 284,507.15, 392,615.28 and 155,442.85 is: 214,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,507.15 : 392,615.28 = 155,442.85 : x
  2. Step 2: Convert to fraction form
    284,507.15/392,615.28 = 155,442.85/x
  3. Step 3: Cross multiply
    284,507.15x = 392,615.28 × 155,442.85
  4. Step 4: Simplify right side
    284,507.15x = 61,029,237,296.53
  5. Step 5: Solve for x
    x = 61,029,237,296.53/284,507.15
  6. Step 6: Final answer
    x = 214,508.63

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1.5x scale

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.