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Finding the Fourth Proportional to 542,552, 748,730.78 and 300,844.76

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Solution

The fourth proportional to 542,552, 748,730.78 and 300,844.76 is: 415,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,552 : 748,730.78 = 300,844.76 : x
  2. Step 2: Convert to fraction form
    542,552/748,730.78 = 300,844.76/x
  3. Step 3: Cross multiply
    542,552x = 748,730.78 × 300,844.76
  4. Step 4: Simplify right side
    542,552x = 225,251,731,813.71
  5. Step 5: Solve for x
    x = 225,251,731,813.71/542,552
  6. Step 6: Final answer
    x = 415,170.77

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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.