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Finding the Fourth Proportional to 289,709.70, 433,981.35 and 149,547.30

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Solution

The fourth proportional to 289,709.70, 433,981.35 and 149,547.30 is: 224,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,709.70 : 433,981.35 = 149,547.30 : x
  2. Step 2: Convert to fraction form
    289,709.70/433,981.35 = 149,547.30/x
  3. Step 3: Cross multiply
    289,709.70x = 433,981.35 × 149,547.30
  4. Step 4: Simplify right side
    289,709.70x = 64,900,739,142.86
  5. Step 5: Solve for x
    x = 64,900,739,142.86/289,709.70
  6. Step 6: Final answer
    x = 224,019.90

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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.