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Finding the Fourth Proportional to 714,216, 985,617.96 and 408,299.04

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Solution

The fourth proportional to 714,216, 985,617.96 and 408,299.04 is: 563,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,216 : 985,617.96 = 408,299.04 : x
  2. Step 2: Convert to fraction form
    714,216/985,617.96 = 408,299.04/x
  3. Step 3: Cross multiply
    714,216x = 985,617.96 × 408,299.04
  4. Step 4: Simplify right side
    714,216x = 402,426,866,874.76
  5. Step 5: Solve for x
    x = 402,426,866,874.76/714,216
  6. Step 6: Final answer
    x = 563,452.61

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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.