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Finding the Fourth Proportional to 427,114.80, 640,769.40 and 249,530.40

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Solution

The fourth proportional to 427,114.80, 640,769.40 and 249,530.40 is: 374,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,114.80 : 640,769.40 = 249,530.40 : x
  2. Step 2: Convert to fraction form
    427,114.80/640,769.40 = 249,530.40/x
  3. Step 3: Cross multiply
    427,114.80x = 640,769.40 × 249,530.40
  4. Step 4: Simplify right side
    427,114.80x = 159,891,444,689.76
  5. Step 5: Solve for x
    x = 159,891,444,689.76/427,114.80
  6. Step 6: Final answer
    x = 374,352.39

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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.