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Finding the Fourth Proportional to 647,925.80, 971,888.70 and 310,909.10

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Solution

The fourth proportional to 647,925.80, 971,888.70 and 310,909.10 is: 466,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,925.80 : 971,888.70 = 310,909.10 : x
  2. Step 2: Convert to fraction form
    647,925.80/971,888.70 = 310,909.10/x
  3. Step 3: Cross multiply
    647,925.80x = 971,888.70 × 310,909.10
  4. Step 4: Simplify right side
    647,925.80x = 302,169,041,017.17
  5. Step 5: Solve for x
    x = 302,169,041,017.17/647,925.80
  6. Step 6: Final answer
    x = 466,363.65

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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.