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Finding the Fourth Proportional to 510,854.17, 704,870.90 and 295,981.15

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Solution

The fourth proportional to 510,854.17, 704,870.90 and 295,981.15 is: 408,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,854.17 : 704,870.90 = 295,981.15 : x
  2. Step 2: Convert to fraction form
    510,854.17/704,870.90 = 295,981.15/x
  3. Step 3: Cross multiply
    510,854.17x = 704,870.90 × 295,981.15
  4. Step 4: Simplify right side
    510,854.17x = 208,628,498,103.63
  5. Step 5: Solve for x
    x = 208,628,498,103.63/510,854.17
  6. Step 6: Final answer
    x = 408,391.49

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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.