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Finding the Fourth Proportional to 280,115.49, 386,564.64 and 152,795.64

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Solution

The fourth proportional to 280,115.49, 386,564.64 and 152,795.64 is: 210,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,115.49 : 386,564.64 = 152,795.64 : x
  2. Step 2: Convert to fraction form
    280,115.49/386,564.64 = 152,795.64/x
  3. Step 3: Cross multiply
    280,115.49x = 386,564.64 × 152,795.64
  4. Step 4: Simplify right side
    280,115.49x = 59,065,391,570.17
  5. Step 5: Solve for x
    x = 59,065,391,570.17/280,115.49
  6. Step 6: Final answer
    x = 210,860.85

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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.