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Finding the Fourth Proportional to 278,133.76, 383,751.68 and 164,981.76

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Solution

The fourth proportional to 278,133.76, 383,751.68 and 164,981.76 is: 227,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,133.76 : 383,751.68 = 164,981.76 : x
  2. Step 2: Convert to fraction form
    278,133.76/383,751.68 = 164,981.76/x
  3. Step 3: Cross multiply
    278,133.76x = 383,751.68 × 164,981.76
  4. Step 4: Simplify right side
    278,133.76x = 63,312,027,569.36
  5. Step 5: Solve for x
    x = 63,312,027,569.36/278,133.76
  6. Step 6: Final answer
    x = 227,631.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.