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Finding the Fourth Proportional to 284,133.86, 392,102.91 and 156,809.46

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Solution

The fourth proportional to 284,133.86, 392,102.91 and 156,809.46 is: 216,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,133.86 : 392,102.91 = 156,809.46 : x
  2. Step 2: Convert to fraction form
    284,133.86/392,102.91 = 156,809.46/x
  3. Step 3: Cross multiply
    284,133.86x = 392,102.91 × 156,809.46
  4. Step 4: Simplify right side
    284,133.86x = 61,485,445,581.53
  5. Step 5: Solve for x
    x = 61,485,445,581.53/284,133.86
  6. Step 6: Final answer
    x = 216,396.06

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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.