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Finding the Fourth Proportional to 543,023.16, 749,371.88 and 301,307.42

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Solution

The fourth proportional to 543,023.16, 749,371.88 and 301,307.42 is: 415,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,023.16 : 749,371.88 = 301,307.42 : x
  2. Step 2: Convert to fraction form
    543,023.16/749,371.88 = 301,307.42/x
  3. Step 3: Cross multiply
    543,023.16x = 749,371.88 × 301,307.42
  4. Step 4: Simplify right side
    543,023.16x = 225,791,302,529.95
  5. Step 5: Solve for x
    x = 225,791,302,529.95/543,023.16
  6. Step 6: Final answer
    x = 415,804.19

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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.