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Finding the Fourth Proportional to 261,031.40, 392,382.30 and 242,541.80

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Solution

The fourth proportional to 261,031.40, 392,382.30 and 242,541.80 is: 364,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,031.40 : 392,382.30 = 242,541.80 : x
  2. Step 2: Convert to fraction form
    261,031.40/392,382.30 = 242,541.80/x
  3. Step 3: Cross multiply
    261,031.40x = 392,382.30 × 242,541.80
  4. Step 4: Simplify right side
    261,031.40x = 95,169,109,330.14
  5. Step 5: Solve for x
    x = 95,169,109,330.14/261,031.40
  6. Step 6: Final answer
    x = 364,588.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.