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Finding the Fourth Proportional to 278,737.16, 384,657.96 and 151,410.08

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Solution

The fourth proportional to 278,737.16, 384,657.96 and 151,410.08 is: 208,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,737.16 : 384,657.96 = 151,410.08 : x
  2. Step 2: Convert to fraction form
    278,737.16/384,657.96 = 151,410.08/x
  3. Step 3: Cross multiply
    278,737.16x = 384,657.96 × 151,410.08
  4. Step 4: Simplify right side
    278,737.16x = 58,241,092,496.24
  5. Step 5: Solve for x
    x = 58,241,092,496.24/278,737.16
  6. Step 6: Final answer
    x = 208,946.28

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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.