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Finding the Fourth Proportional to 284,562.42, 392,696.01 and 157,236.90

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Solution

The fourth proportional to 284,562.42, 392,696.01 and 157,236.90 is: 216,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,562.42 : 392,696.01 = 157,236.90 : x
  2. Step 2: Convert to fraction form
    284,562.42/392,696.01 = 157,236.90/x
  3. Step 3: Cross multiply
    284,562.42x = 392,696.01 × 157,236.90
  4. Step 4: Simplify right side
    284,562.42x = 61,746,303,254.77
  5. Step 5: Solve for x
    x = 61,746,303,254.77/284,562.42
  6. Step 6: Final answer
    x = 216,986.85

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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.