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Finding the Fourth Proportional to 543,020.78, 749,357.22 and 301,298.18

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Solution

The fourth proportional to 543,020.78, 749,357.22 and 301,298.18 is: 415,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,020.78 : 749,357.22 = 301,298.18 : x
  2. Step 2: Convert to fraction form
    543,020.78/749,357.22 = 301,298.18/x
  3. Step 3: Cross multiply
    543,020.78x = 749,357.22 × 301,298.18
  4. Step 4: Simplify right side
    543,020.78x = 225,779,966,555.86
  5. Step 5: Solve for x
    x = 225,779,966,555.86/543,020.78
  6. Step 6: Final answer
    x = 415,785.13

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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.