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Finding the Fourth Proportional to 286,270.80, 429,060.60 and 145,957.20

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Solution

The fourth proportional to 286,270.80, 429,060.60 and 145,957.20 is: 218,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,270.80 : 429,060.60 = 145,957.20 : x
  2. Step 2: Convert to fraction form
    286,270.80/429,060.60 = 145,957.20/x
  3. Step 3: Cross multiply
    286,270.80x = 429,060.60 × 145,957.20
  4. Step 4: Simplify right side
    286,270.80x = 62,624,483,806.32
  5. Step 5: Solve for x
    x = 62,624,483,806.32/286,270.80
  6. Step 6: Final answer
    x = 218,759.59

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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.