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Finding the Fourth Proportional to 261,029.40, 392,379.30 and 242,539.80

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Solution

The fourth proportional to 261,029.40, 392,379.30 and 242,539.80 is: 364,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,029.40 : 392,379.30 = 242,539.80 : x
  2. Step 2: Convert to fraction form
    261,029.40/392,379.30 = 242,539.80/x
  3. Step 3: Cross multiply
    261,029.40x = 392,379.30 × 242,539.80
  4. Step 4: Simplify right side
    261,029.40x = 95,167,596,946.14
  5. Step 5: Solve for x
    x = 95,167,596,946.14/261,029.40
  6. Step 6: Final answer
    x = 364,585.74

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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.