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Finding the Fourth Proportional to 434,653.80, 652,272.30 and 256,972.20

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Solution

The fourth proportional to 434,653.80, 652,272.30 and 256,972.20 is: 385,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,653.80 : 652,272.30 = 256,972.20 : x
  2. Step 2: Convert to fraction form
    434,653.80/652,272.30 = 256,972.20/x
  3. Step 3: Cross multiply
    434,653.80x = 652,272.30 × 256,972.20
  4. Step 4: Simplify right side
    434,653.80x = 167,615,847,930.06
  5. Step 5: Solve for x
    x = 167,615,847,930.06/434,653.80
  6. Step 6: Final answer
    x = 385,630.70

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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.