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Finding the Fourth Proportional to 284,161.30, 392,114.68 and 156,828.69

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Solution

The fourth proportional to 284,161.30, 392,114.68 and 156,828.69 is: 216,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,161.30 : 392,114.68 = 156,828.69 : x
  2. Step 2: Convert to fraction form
    284,161.30/392,114.68 = 156,828.69/x
  3. Step 3: Cross multiply
    284,161.30x = 392,114.68 × 156,828.69
  4. Step 4: Simplify right side
    284,161.30x = 61,494,831,594.17
  5. Step 5: Solve for x
    x = 61,494,831,594.17/284,161.30
  6. Step 6: Final answer
    x = 216,408.19

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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.