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Finding the Fourth Proportional to 647,920.80, 971,881.20 and 310,904.10

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Solution

The fourth proportional to 647,920.80, 971,881.20 and 310,904.10 is: 466,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,920.80 : 971,881.20 = 310,904.10 : x
  2. Step 2: Convert to fraction form
    647,920.80/971,881.20 = 310,904.10/x
  3. Step 3: Cross multiply
    647,920.80x = 971,881.20 × 310,904.10
  4. Step 4: Simplify right side
    647,920.80x = 302,161,849,792.92
  5. Step 5: Solve for x
    x = 302,161,849,792.92/647,920.80
  6. Step 6: Final answer
    x = 466,356.15

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Similar ratio
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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.