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Finding the Fourth Proportional to 284,289.80, 392,317.32 and 156,962.60

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Solution

The fourth proportional to 284,289.80, 392,317.32 and 156,962.60 is: 216,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,289.80 : 392,317.32 = 156,962.60 : x
  2. Step 2: Convert to fraction form
    284,289.80/392,317.32 = 156,962.60/x
  3. Step 3: Cross multiply
    284,289.80x = 392,317.32 × 156,962.60
  4. Step 4: Simplify right side
    284,289.80x = 61,579,146,572.23
  5. Step 5: Solve for x
    x = 61,579,146,572.23/284,289.80
  6. Step 6: Final answer
    x = 216,606.95

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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.