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Finding the Fourth Proportional to 261,021.40, 392,367.30 and 242,531.80

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Solution

The fourth proportional to 261,021.40, 392,367.30 and 242,531.80 is: 364,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,021.40 : 392,367.30 = 242,531.80 : x
  2. Step 2: Convert to fraction form
    261,021.40/392,367.30 = 242,531.80/x
  3. Step 3: Cross multiply
    261,021.40x = 392,367.30 × 242,531.80
  4. Step 4: Simplify right side
    261,021.40x = 95,161,547,530.14
  5. Step 5: Solve for x
    x = 95,161,547,530.14/261,021.40
  6. Step 6: Final answer
    x = 364,573.74

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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.