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Finding the Fourth Proportional to 434,615.80, 652,215.30 and 256,934.20

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Solution

The fourth proportional to 434,615.80, 652,215.30 and 256,934.20 is: 385,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,615.80 : 652,215.30 = 256,934.20 : x
  2. Step 2: Convert to fraction form
    434,615.80/652,215.30 = 256,934.20/x
  3. Step 3: Cross multiply
    434,615.80x = 652,215.30 × 256,934.20
  4. Step 4: Simplify right side
    434,615.80x = 167,576,416,333.26
  5. Step 5: Solve for x
    x = 167,576,416,333.26/434,615.80
  6. Step 6: Final answer
    x = 385,573.69

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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.