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Finding the Fourth Proportional to 278,070, 383,734.32 and 150,742.32

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Solution

The fourth proportional to 278,070, 383,734.32 and 150,742.32 is: 208,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,070 : 383,734.32 = 150,742.32 : x
  2. Step 2: Convert to fraction form
    278,070/383,734.32 = 150,742.32/x
  3. Step 3: Cross multiply
    278,070x = 383,734.32 × 150,742.32
  4. Step 4: Simplify right side
    278,070x = 57,845,001,660.42
  5. Step 5: Solve for x
    x = 57,845,001,660.42/278,070
  6. Step 6: Final answer
    x = 208,023.17

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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.