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Finding the Fourth Proportional to 289,746.56, 434,744.70 and 156,720.48

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Solution

The fourth proportional to 289,746.56, 434,744.70 and 156,720.48 is: 235,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,746.56 : 434,744.70 = 156,720.48 : x
  2. Step 2: Convert to fraction form
    289,746.56/434,744.70 = 156,720.48/x
  3. Step 3: Cross multiply
    289,746.56x = 434,744.70 × 156,720.48
  4. Step 4: Simplify right side
    289,746.56x = 68,133,398,061.46
  5. Step 5: Solve for x
    x = 68,133,398,061.46/289,746.56
  6. Step 6: Final answer
    x = 235,148.26

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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.