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Finding the Fourth Proportional to 289,132.40, 434,735.40 and 243,513.20

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Solution

The fourth proportional to 289,132.40, 434,735.40 and 243,513.20 is: 366,143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,132.40 : 434,735.40 = 243,513.20 : x
  2. Step 2: Convert to fraction form
    289,132.40/434,735.40 = 243,513.20/x
  3. Step 3: Cross multiply
    289,132.40x = 434,735.40 × 243,513.20
  4. Step 4: Simplify right side
    289,132.40x = 105,863,808,407.28
  5. Step 5: Solve for x
    x = 105,863,808,407.28/289,132.40
  6. Step 6: Final answer
    x = 366,143.01

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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.