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Finding the Fourth Proportional to 512,948.16, 707,901.12 and 286,610.40

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Solution

The fourth proportional to 512,948.16, 707,901.12 and 286,610.40 is: 395,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,948.16 : 707,901.12 = 286,610.40 : x
  2. Step 2: Convert to fraction form
    512,948.16/707,901.12 = 286,610.40/x
  3. Step 3: Cross multiply
    512,948.16x = 707,901.12 × 286,610.40
  4. Step 4: Simplify right side
    512,948.16x = 202,891,823,163.65
  5. Step 5: Solve for x
    x = 202,891,823,163.65/512,948.16
  6. Step 6: Final answer
    x = 395,540.60

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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.