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Finding the Fourth Proportional to 284,309.64, 392,342.16 and 156,982.50

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Solution

The fourth proportional to 284,309.64, 392,342.16 and 156,982.50 is: 216,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,309.64 : 392,342.16 = 156,982.50 : x
  2. Step 2: Convert to fraction form
    284,309.64/392,342.16 = 156,982.50/x
  3. Step 3: Cross multiply
    284,309.64x = 392,342.16 × 156,982.50
  4. Step 4: Simplify right side
    284,309.64x = 61,590,853,132.20
  5. Step 5: Solve for x
    x = 61,590,853,132.20/284,309.64
  6. Step 6: Final answer
    x = 216,633.01

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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.