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Finding the Fourth Proportional to 280,097.62, 386,539.96 and 152,777.77

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Solution

The fourth proportional to 280,097.62, 386,539.96 and 152,777.77 is: 210,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,097.62 : 386,539.96 = 152,777.77 : x
  2. Step 2: Convert to fraction form
    280,097.62/386,539.96 = 152,777.77/x
  3. Step 3: Cross multiply
    280,097.62x = 386,539.96 × 152,777.77
  4. Step 4: Simplify right side
    280,097.62x = 59,054,713,104.69
  5. Step 5: Solve for x
    x = 59,054,713,104.69/280,097.62
  6. Step 6: Final answer
    x = 210,836.18

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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.