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Finding the Fourth Proportional to 647,095.20, 971,218.80 and 380,522.40

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Solution

The fourth proportional to 647,095.20, 971,218.80 and 380,522.40 is: 571,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,095.20 : 971,218.80 = 380,522.40 : x
  2. Step 2: Convert to fraction form
    647,095.20/971,218.80 = 380,522.40/x
  3. Step 3: Cross multiply
    647,095.20x = 971,218.80 × 380,522.40
  4. Step 4: Simplify right side
    647,095.20x = 369,570,508,701.12
  5. Step 5: Solve for x
    x = 369,570,508,701.12/647,095.20
  6. Step 6: Final answer
    x = 571,122.32

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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.