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Finding the Fourth Proportional to 647,701.12, 971,882.08 and 436,897.28

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Solution

The fourth proportional to 647,701.12, 971,882.08 and 436,897.28 is: 655,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,701.12 : 971,882.08 = 436,897.28 : x
  2. Step 2: Convert to fraction form
    647,701.12/971,882.08 = 436,897.28/x
  3. Step 3: Cross multiply
    647,701.12x = 971,882.08 × 436,897.28
  4. Step 4: Simplify right side
    647,701.12x = 424,612,637,232.74
  5. Step 5: Solve for x
    x = 424,612,637,232.74/647,701.12
  6. Step 6: Final answer
    x = 655,568.79

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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.