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Finding the Fourth Proportional to 646,953.32, 970,488.30 and 247,577.96

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Solution

The fourth proportional to 646,953.32, 970,488.30 and 247,577.96 is: 371,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,953.32 : 970,488.30 = 247,577.96 : x
  2. Step 2: Convert to fraction form
    646,953.32/970,488.30 = 247,577.96/x
  3. Step 3: Cross multiply
    646,953.32x = 970,488.30 × 247,577.96
  4. Step 4: Simplify right side
    646,953.32x = 240,271,513,517.87
  5. Step 5: Solve for x
    x = 240,271,513,517.87/646,953.32
  6. Step 6: Final answer
    x = 371,389.26

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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.