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Finding the Fourth Proportional to 647,262.30, 970,547.85 and 272,862.30

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Solution

The fourth proportional to 647,262.30, 970,547.85 and 272,862.30 is: 409,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,262.30 : 970,547.85 = 272,862.30 : x
  2. Step 2: Convert to fraction form
    647,262.30/970,547.85 = 272,862.30/x
  3. Step 3: Cross multiply
    647,262.30x = 970,547.85 × 272,862.30
  4. Step 4: Simplify right side
    647,262.30x = 264,825,918,611.06
  5. Step 5: Solve for x
    x = 264,825,918,611.06/647,262.30
  6. Step 6: Final answer
    x = 409,147.76

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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.