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Finding the Fourth Proportional to 647,038.20, 971,432.10 and 410,842.20

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Solution

The fourth proportional to 647,038.20, 971,432.10 and 410,842.20 is: 616,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,038.20 : 971,432.10 = 410,842.20 : x
  2. Step 2: Convert to fraction form
    647,038.20/971,432.10 = 410,842.20/x
  3. Step 3: Cross multiply
    647,038.20x = 971,432.10 × 410,842.20
  4. Step 4: Simplify right side
    647,038.20x = 399,105,301,114.62
  5. Step 5: Solve for x
    x = 399,105,301,114.62/647,038.20
  6. Step 6: Final answer
    x = 616,818.76

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1.5x scale

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.