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Finding the Fourth Proportional to 537,711.40, 805,595.10 and 312,887.80

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Solution

The fourth proportional to 537,711.40, 805,595.10 and 312,887.80 is: 468,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,711.40 : 805,595.10 = 312,887.80 : x
  2. Step 2: Convert to fraction form
    537,711.40/805,595.10 = 312,887.80/x
  3. Step 3: Cross multiply
    537,711.40x = 805,595.10 × 312,887.80
  4. Step 4: Simplify right side
    537,711.40x = 252,060,878,529.78
  5. Step 5: Solve for x
    x = 252,060,878,529.78/537,711.40
  6. Step 6: Final answer
    x = 468,766.10

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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.