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Finding the Fourth Proportional to 280,783.13, 387,480.74 and 153,458.73

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Solution

The fourth proportional to 280,783.13, 387,480.74 and 153,458.73 is: 211,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,783.13 : 387,480.74 = 153,458.73 : x
  2. Step 2: Convert to fraction form
    280,783.13/387,480.74 = 153,458.73/x
  3. Step 3: Cross multiply
    280,783.13x = 387,480.74 × 153,458.73
  4. Step 4: Simplify right side
    280,783.13x = 59,462,300,834.38
  5. Step 5: Solve for x
    x = 59,462,300,834.38/280,783.13
  6. Step 6: Final answer
    x = 211,773.05

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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.