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Finding the Fourth Proportional to 510,713.29, 704,756.95 and 281,225.77

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Solution

The fourth proportional to 510,713.29, 704,756.95 and 281,225.77 is: 388,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,713.29 : 704,756.95 = 281,225.77 : x
  2. Step 2: Convert to fraction form
    510,713.29/704,756.95 = 281,225.77/x
  3. Step 3: Cross multiply
    510,713.29x = 704,756.95 × 281,225.77
  4. Step 4: Simplify right side
    510,713.29x = 198,195,815,926.60
  5. Step 5: Solve for x
    x = 198,195,815,926.60/510,713.29
  6. Step 6: Final answer
    x = 388,076.48

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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.