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Finding the Fourth Proportional to 278,109.76, 383,763.04 and 170,684.32

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Solution

The fourth proportional to 278,109.76, 383,763.04 and 170,684.32 is: 235,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,109.76 : 383,763.04 = 170,684.32 : x
  2. Step 2: Convert to fraction form
    278,109.76/383,763.04 = 170,684.32/x
  3. Step 3: Cross multiply
    278,109.76x = 383,763.04 × 170,684.32
  4. Step 4: Simplify right side
    278,109.76x = 65,502,333,523.53
  5. Step 5: Solve for x
    x = 65,502,333,523.53/278,109.76
  6. Step 6: Final answer
    x = 235,526.91

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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.