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Finding the Fourth Proportional to 537,713.40, 805,598.10 and 312,889.80

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Solution

The fourth proportional to 537,713.40, 805,598.10 and 312,889.80 is: 468,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,713.40 : 805,598.10 = 312,889.80 : x
  2. Step 2: Convert to fraction form
    537,713.40/805,598.10 = 312,889.80/x
  3. Step 3: Cross multiply
    537,713.40x = 805,598.10 × 312,889.80
  4. Step 4: Simplify right side
    537,713.40x = 252,063,428,389.38
  5. Step 5: Solve for x
    x = 252,063,428,389.38/537,713.40
  6. Step 6: Final answer
    x = 468,769.10

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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.