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Finding the Fourth Proportional to 342,513.76, 513,714.48 and 93,215.20

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Solution

The fourth proportional to 342,513.76, 513,714.48 and 93,215.20 is: 139,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,513.76 : 513,714.48 = 93,215.20 : x
  2. Step 2: Convert to fraction form
    342,513.76/513,714.48 = 93,215.20/x
  3. Step 3: Cross multiply
    342,513.76x = 513,714.48 × 93,215.20
  4. Step 4: Simplify right side
    342,513.76x = 47,885,997,996.10
  5. Step 5: Solve for x
    x = 47,885,997,996.10/342,513.76
  6. Step 6: Final answer
    x = 139,807.52

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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.