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Finding the Fourth Proportional to 280,630.84, 387,270.47 and 151,569.30

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Solution

The fourth proportional to 280,630.84, 387,270.47 and 151,569.30 is: 209,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,630.84 : 387,270.47 = 151,569.30 : x
  2. Step 2: Convert to fraction form
    280,630.84/387,270.47 = 151,569.30/x
  3. Step 3: Cross multiply
    280,630.84x = 387,270.47 × 151,569.30
  4. Step 4: Simplify right side
    280,630.84x = 58,698,313,290.72
  5. Step 5: Solve for x
    x = 58,698,313,290.72/280,630.84
  6. Step 6: Final answer
    x = 209,165.59

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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.