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Finding the Fourth Proportional to 289,881.90, 435,038.85 and 149,568.30

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Solution

The fourth proportional to 289,881.90, 435,038.85 and 149,568.30 is: 224,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,881.90 : 435,038.85 = 149,568.30 : x
  2. Step 2: Convert to fraction form
    289,881.90/435,038.85 = 149,568.30/x
  3. Step 3: Cross multiply
    289,881.90x = 435,038.85 × 149,568.30
  4. Step 4: Simplify right side
    289,881.90x = 65,068,021,228.46
  5. Step 5: Solve for x
    x = 65,068,021,228.46/289,881.90
  6. Step 6: Final answer
    x = 224,463.90

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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.