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Finding the Fourth Proportional to 543,231.52, 749,645.49 and 301,507

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Solution

The fourth proportional to 543,231.52, 749,645.49 and 301,507 is: 416,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,231.52 : 749,645.49 = 301,507 : x
  2. Step 2: Convert to fraction form
    543,231.52/749,645.49 = 301,507/x
  3. Step 3: Cross multiply
    543,231.52x = 749,645.49 × 301,507
  4. Step 4: Simplify right side
    543,231.52x = 226,023,362,753.43
  5. Step 5: Solve for x
    x = 226,023,362,753.43/543,231.52
  6. Step 6: Final answer
    x = 416,071.89

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1.5x scale

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.