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Finding the Fourth Proportional to 278,430.16, 384,228.16 and 157,569.20

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Solution

The fourth proportional to 278,430.16, 384,228.16 and 157,569.20 is: 217,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,430.16 : 384,228.16 = 157,569.20 : x
  2. Step 2: Convert to fraction form
    278,430.16/384,228.16 = 157,569.20/x
  3. Step 3: Cross multiply
    278,430.16x = 384,228.16 × 157,569.20
  4. Step 4: Simplify right side
    278,430.16x = 60,542,523,788.67
  5. Step 5: Solve for x
    x = 60,542,523,788.67/278,430.16
  6. Step 6: Final answer
    x = 217,442.41

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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.