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Finding the Fourth Proportional to 282,742.60, 424,113.90 and 156,771.40

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Solution

The fourth proportional to 282,742.60, 424,113.90 and 156,771.40 is: 235,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,742.60 : 424,113.90 = 156,771.40 : x
  2. Step 2: Convert to fraction form
    282,742.60/424,113.90 = 156,771.40/x
  3. Step 3: Cross multiply
    282,742.60x = 424,113.90 × 156,771.40
  4. Step 4: Simplify right side
    282,742.60x = 66,488,929,862.46
  5. Step 5: Solve for x
    x = 66,488,929,862.46/282,742.60
  6. Step 6: Final answer
    x = 235,157.10

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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.