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Finding the Fourth Proportional to 284,537.62, 392,657.25 and 157,218.58

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Solution

The fourth proportional to 284,537.62, 392,657.25 and 157,218.58 is: 216,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,537.62 : 392,657.25 = 157,218.58 : x
  2. Step 2: Convert to fraction form
    284,537.62/392,657.25 = 157,218.58/x
  3. Step 3: Cross multiply
    284,537.62x = 392,657.25 × 157,218.58
  4. Step 4: Simplify right side
    284,537.62x = 61,733,015,271.71
  5. Step 5: Solve for x
    x = 61,733,015,271.71/284,537.62
  6. Step 6: Final answer
    x = 216,959.06

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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.