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Finding the Fourth Proportional to 385,437.80, 577,811.10 and 343,447.40

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Solution

The fourth proportional to 385,437.80, 577,811.10 and 343,447.40 is: 514,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,437.80 : 577,811.10 = 343,447.40 : x
  2. Step 2: Convert to fraction form
    385,437.80/577,811.10 = 343,447.40/x
  3. Step 3: Cross multiply
    385,437.80x = 577,811.10 × 343,447.40
  4. Step 4: Simplify right side
    385,437.80x = 198,447,719,986.14
  5. Step 5: Solve for x
    x = 198,447,719,986.14/385,437.80
  6. Step 6: Final answer
    x = 514,863.15

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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.