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Finding the Fourth Proportional to 289,882.90, 435,040.35 and 149,569.30

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Solution

The fourth proportional to 289,882.90, 435,040.35 and 149,569.30 is: 224,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,882.90 : 435,040.35 = 149,569.30 : x
  2. Step 2: Convert to fraction form
    289,882.90/435,040.35 = 149,569.30/x
  3. Step 3: Cross multiply
    289,882.90x = 435,040.35 × 149,569.30
  4. Step 4: Simplify right side
    289,882.90x = 65,068,680,621.26
  5. Step 5: Solve for x
    x = 65,068,680,621.26/289,882.90
  6. Step 6: Final answer
    x = 224,465.40

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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.