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Finding the Fourth Proportional to 278,820, 384,773.40 and 151,495.56

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Solution

The fourth proportional to 278,820, 384,773.40 and 151,495.56 is: 209,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,820 : 384,773.40 = 151,495.56 : x
  2. Step 2: Convert to fraction form
    278,820/384,773.40 = 151,495.56/x
  3. Step 3: Cross multiply
    278,820x = 384,773.40 × 151,495.56
  4. Step 4: Simplify right side
    278,820x = 58,291,461,706.10
  5. Step 5: Solve for x
    x = 58,291,461,706.10/278,820
  6. Step 6: Final answer
    x = 209,064.85

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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.