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Finding the Fourth Proportional to 284,153.32, 392,130.77 and 156,828

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Solution

The fourth proportional to 284,153.32, 392,130.77 and 156,828 is: 216,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,153.32 : 392,130.77 = 156,828 : x
  2. Step 2: Convert to fraction form
    284,153.32/392,130.77 = 156,828/x
  3. Step 3: Cross multiply
    284,153.32x = 392,130.77 × 156,828
  4. Step 4: Simplify right side
    284,153.32x = 61,497,084,789.63
  5. Step 5: Solve for x
    x = 61,497,084,789.63/284,153.32
  6. Step 6: Final answer
    x = 216,422.20

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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.