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Finding the Fourth Proportional to 287,713.30, 431,569.95 and 259,719.70

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Solution

The fourth proportional to 287,713.30, 431,569.95 and 259,719.70 is: 389,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,713.30 : 431,569.95 = 259,719.70 : x
  2. Step 2: Convert to fraction form
    287,713.30/431,569.95 = 259,719.70/x
  3. Step 3: Cross multiply
    287,713.30x = 431,569.95 × 259,719.70
  4. Step 4: Simplify right side
    287,713.30x = 112,087,217,943.02
  5. Step 5: Solve for x
    x = 112,087,217,943.02/287,713.30
  6. Step 6: Final answer
    x = 389,579.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.