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Finding the Fourth Proportional to 510,780.25, 704,881.65 and 281,342.71

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Solution

The fourth proportional to 510,780.25, 704,881.65 and 281,342.71 is: 388,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,780.25 : 704,881.65 = 281,342.71 : x
  2. Step 2: Convert to fraction form
    510,780.25/704,881.65 = 281,342.71/x
  3. Step 3: Cross multiply
    510,780.25x = 704,881.65 × 281,342.71
  4. Step 4: Simplify right side
    510,780.25x = 198,313,313,640.27
  5. Step 5: Solve for x
    x = 198,313,313,640.27/510,780.25
  6. Step 6: Final answer
    x = 388,255.64

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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.