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Finding the Fourth Proportional to 543,407.10, 749,864.34 and 301,670.91

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Solution

The fourth proportional to 543,407.10, 749,864.34 and 301,670.91 is: 416,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,407.10 : 749,864.34 = 301,670.91 : x
  2. Step 2: Convert to fraction form
    543,407.10/749,864.34 = 301,670.91/x
  3. Step 3: Cross multiply
    543,407.10x = 749,864.34 × 301,670.91
  4. Step 4: Simplify right side
    543,407.10x = 226,212,257,824.35
  5. Step 5: Solve for x
    x = 226,212,257,824.35/543,407.10
  6. Step 6: Final answer
    x = 416,285.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.