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Finding the Fourth Proportional to 286,276.80, 429,069.60 and 145,963.20

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Solution

The fourth proportional to 286,276.80, 429,069.60 and 145,963.20 is: 218,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,276.80 : 429,069.60 = 145,963.20 : x
  2. Step 2: Convert to fraction form
    286,276.80/429,069.60 = 145,963.20/x
  3. Step 3: Cross multiply
    286,276.80x = 429,069.60 × 145,963.20
  4. Step 4: Simplify right side
    286,276.80x = 62,628,371,838.72
  5. Step 5: Solve for x
    x = 62,628,371,838.72/286,276.80
  6. Step 6: Final answer
    x = 218,768.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.