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Finding the Fourth Proportional to 443,561, 612,114.18 and 242,357

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Solution

The fourth proportional to 443,561, 612,114.18 and 242,357 is: 334,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,561 : 612,114.18 = 242,357 : x
  2. Step 2: Convert to fraction form
    443,561/612,114.18 = 242,357/x
  3. Step 3: Cross multiply
    443,561x = 612,114.18 × 242,357
  4. Step 4: Simplify right side
    443,561x = 148,350,156,322.26
  5. Step 5: Solve for x
    x = 148,350,156,322.26/443,561
  6. Step 6: Final answer
    x = 334,452.66

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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.