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Finding the Fourth Proportional to 540,398.47, 745,750.61 and 310,951.19

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Solution

The fourth proportional to 540,398.47, 745,750.61 and 310,951.19 is: 429,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,398.47 : 745,750.61 = 310,951.19 : x
  2. Step 2: Convert to fraction form
    540,398.47/745,750.61 = 310,951.19/x
  3. Step 3: Cross multiply
    540,398.47x = 745,750.61 × 310,951.19
  4. Step 4: Simplify right side
    540,398.47x = 231,892,039,622.73
  5. Step 5: Solve for x
    x = 231,892,039,622.73/540,398.47
  6. Step 6: Final answer
    x = 429,113.06

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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.