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Finding the Fourth Proportional to 495,947.78, 684,415.43 and 278,204.71

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Solution

The fourth proportional to 495,947.78, 684,415.43 and 278,204.71 is: 383,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,947.78 : 684,415.43 = 278,204.71 : x
  2. Step 2: Convert to fraction form
    495,947.78/684,415.43 = 278,204.71/x
  3. Step 3: Cross multiply
    495,947.78x = 684,415.43 × 278,204.71
  4. Step 4: Simplify right side
    495,947.78x = 190,407,596,222.68
  5. Step 5: Solve for x
    x = 190,407,596,222.68/495,947.78
  6. Step 6: Final answer
    x = 383,926.70

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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.