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Finding the Fourth Proportional to 278,465.41, 384,282.63 and 151,141

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Solution

The fourth proportional to 278,465.41, 384,282.63 and 151,141 is: 208,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,465.41 : 384,282.63 = 151,141 : x
  2. Step 2: Convert to fraction form
    278,465.41/384,282.63 = 151,141/x
  3. Step 3: Cross multiply
    278,465.41x = 384,282.63 × 151,141
  4. Step 4: Simplify right side
    278,465.41x = 58,080,860,980.83
  5. Step 5: Solve for x
    x = 58,080,860,980.83/278,465.41
  6. Step 6: Final answer
    x = 208,574.78

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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.