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Finding the Fourth Proportional to 289,420.20, 434,000.70 and 111,868.20

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Solution

The fourth proportional to 289,420.20, 434,000.70 and 111,868.20 is: 167,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,420.20 : 434,000.70 = 111,868.20 : x
  2. Step 2: Convert to fraction form
    289,420.20/434,000.70 = 111,868.20/x
  3. Step 3: Cross multiply
    289,420.20x = 434,000.70 × 111,868.20
  4. Step 4: Simplify right side
    289,420.20x = 48,550,877,107.74
  5. Step 5: Solve for x
    x = 48,550,877,107.74/289,420.20
  6. Step 6: Final answer
    x = 167,752.21

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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.