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Finding the Fourth Proportional to 547,718.40, 819,734.40 and 381,830.40

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Solution

The fourth proportional to 547,718.40, 819,734.40 and 381,830.40 is: 571,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,718.40 : 819,734.40 = 381,830.40 : x
  2. Step 2: Convert to fraction form
    547,718.40/819,734.40 = 381,830.40/x
  3. Step 3: Cross multiply
    547,718.40x = 819,734.40 × 381,830.40
  4. Step 4: Simplify right side
    547,718.40x = 312,999,513,845.76
  5. Step 5: Solve for x
    x = 312,999,513,845.76/547,718.40
  6. Step 6: Final answer
    x = 571,460.65

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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.