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Finding the Fourth Proportional to 286,952.10, 430,428.15 and 261,364.20

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Solution

The fourth proportional to 286,952.10, 430,428.15 and 261,364.20 is: 392,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,952.10 : 430,428.15 = 261,364.20 : x
  2. Step 2: Convert to fraction form
    286,952.10/430,428.15 = 261,364.20/x
  3. Step 3: Cross multiply
    286,952.10x = 430,428.15 × 261,364.20
  4. Step 4: Simplify right side
    286,952.10x = 112,498,509,082.23
  5. Step 5: Solve for x
    x = 112,498,509,082.23/286,952.10
  6. Step 6: Final answer
    x = 392,046.30

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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.