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Finding the Fourth Proportional to 486,714.69, 730,259 and 342,758.66

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Solution

The fourth proportional to 486,714.69, 730,259 and 342,758.66 is: 514,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,714.69 : 730,259 = 342,758.66 : x
  2. Step 2: Convert to fraction form
    486,714.69/730,259 = 342,758.66/x
  3. Step 3: Cross multiply
    486,714.69x = 730,259 × 342,758.66
  4. Step 4: Simplify right side
    486,714.69x = 250,302,596,292.94
  5. Step 5: Solve for x
    x = 250,302,596,292.94/486,714.69
  6. Step 6: Final answer
    x = 514,269.66

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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.