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Finding the Fourth Proportional to 540,703.92, 745,872.12 and 314,324.40

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Solution

The fourth proportional to 540,703.92, 745,872.12 and 314,324.40 is: 433,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,703.92 : 745,872.12 = 314,324.40 : x
  2. Step 2: Convert to fraction form
    540,703.92/745,872.12 = 314,324.40/x
  3. Step 3: Cross multiply
    540,703.92x = 745,872.12 × 314,324.40
  4. Step 4: Simplify right side
    540,703.92x = 234,445,806,595.73
  5. Step 5: Solve for x
    x = 234,445,806,595.73/540,703.92
  6. Step 6: Final answer
    x = 433,593.69

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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.