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Finding the Fourth Proportional to 289,713.10, 434,569.65 and 243,057.10

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Solution

The fourth proportional to 289,713.10, 434,569.65 and 243,057.10 is: 364,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,713.10 : 434,569.65 = 243,057.10 : x
  2. Step 2: Convert to fraction form
    289,713.10/434,569.65 = 243,057.10/x
  3. Step 3: Cross multiply
    289,713.10x = 434,569.65 × 243,057.10
  4. Step 4: Simplify right side
    289,713.10x = 105,625,238,877.02
  5. Step 5: Solve for x
    x = 105,625,238,877.02/289,713.10
  6. Step 6: Final answer
    x = 364,585.65

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Similar ratio
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1.5x scale

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.