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Finding the Fourth Proportional to 347,814.80, 521,722.20 and 307,725.20

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Solution

The fourth proportional to 347,814.80, 521,722.20 and 307,725.20 is: 461,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,814.80 : 521,722.20 = 307,725.20 : x
  2. Step 2: Convert to fraction form
    347,814.80/521,722.20 = 307,725.20/x
  3. Step 3: Cross multiply
    347,814.80x = 521,722.20 × 307,725.20
  4. Step 4: Simplify right side
    347,814.80x = 160,547,068,339.44
  5. Step 5: Solve for x
    x = 160,547,068,339.44/347,814.80
  6. Step 6: Final answer
    x = 461,587.80

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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.