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Finding the Fourth Proportional to 497,320.80, 745,106.40 and 408,091.20

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Solution

The fourth proportional to 497,320.80, 745,106.40 and 408,091.20 is: 611,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,320.80 : 745,106.40 = 408,091.20 : x
  2. Step 2: Convert to fraction form
    497,320.80/745,106.40 = 408,091.20/x
  3. Step 3: Cross multiply
    497,320.80x = 745,106.40 × 408,091.20
  4. Step 4: Simplify right side
    497,320.80x = 304,071,364,903.68
  5. Step 5: Solve for x
    x = 304,071,364,903.68/497,320.80
  6. Step 6: Final answer
    x = 611,418.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.