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Finding the Fourth Proportional to 687,519.10, 948,950.76 and 469,815.91

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Solution

The fourth proportional to 687,519.10, 948,950.76 and 469,815.91 is: 648,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,519.10 : 948,950.76 = 469,815.91 : x
  2. Step 2: Convert to fraction form
    687,519.10/948,950.76 = 469,815.91/x
  3. Step 3: Cross multiply
    687,519.10x = 948,950.76 × 469,815.91
  4. Step 4: Simplify right side
    687,519.10x = 445,832,164,854.59
  5. Step 5: Solve for x
    x = 445,832,164,854.59/687,519.10
  6. Step 6: Final answer
    x = 648,465.13

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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.