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Finding the Fourth Proportional to 254,501.70, 381,752.55 and 164,688.90

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Solution

The fourth proportional to 254,501.70, 381,752.55 and 164,688.90 is: 247,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,501.70 : 381,752.55 = 164,688.90 : x
  2. Step 2: Convert to fraction form
    254,501.70/381,752.55 = 164,688.90/x
  3. Step 3: Cross multiply
    254,501.70x = 381,752.55 × 164,688.90
  4. Step 4: Simplify right side
    254,501.70x = 62,870,407,531.70
  5. Step 5: Solve for x
    x = 62,870,407,531.70/254,501.70
  6. Step 6: Final answer
    x = 247,033.35

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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.