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Finding the Fourth Proportional to 642,854.20, 963,359.70 and 473,049.40

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Solution

The fourth proportional to 642,854.20, 963,359.70 and 473,049.40 is: 708,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,854.20 : 963,359.70 = 473,049.40 : x
  2. Step 2: Convert to fraction form
    642,854.20/963,359.70 = 473,049.40/x
  3. Step 3: Cross multiply
    642,854.20x = 963,359.70 × 473,049.40
  4. Step 4: Simplify right side
    642,854.20x = 455,716,728,069.18
  5. Step 5: Solve for x
    x = 455,716,728,069.18/642,854.20
  6. Step 6: Final answer
    x = 708,895.93

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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.