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Finding the Fourth Proportional to 280,854, 387,578.52 and 153,530.51

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Solution

The fourth proportional to 280,854, 387,578.52 and 153,530.51 is: 211,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,854 : 387,578.52 = 153,530.51 : x
  2. Step 2: Convert to fraction form
    280,854/387,578.52 = 153,530.51/x
  3. Step 3: Cross multiply
    280,854x = 387,578.52 × 153,530.51
  4. Step 4: Simplify right side
    280,854x = 59,505,125,902.75
  5. Step 5: Solve for x
    x = 59,505,125,902.75/280,854
  6. Step 6: Final answer
    x = 211,872.10

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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.