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Finding the Fourth Proportional to 727,325, 1,091,031.24 and 228,689

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Solution

The fourth proportional to 727,325, 1,091,031.24 and 228,689 is: 343,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,325 : 1,091,031.24 = 228,689 : x
  2. Step 2: Convert to fraction form
    727,325/1,091,031.24 = 228,689/x
  3. Step 3: Cross multiply
    727,325x = 1,091,031.24 × 228,689
  4. Step 4: Simplify right side
    727,325x = 249,506,843,244.36
  5. Step 5: Solve for x
    x = 249,506,843,244.36/727,325
  6. Step 6: Final answer
    x = 343,047.25

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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.