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Finding the Fourth Proportional to 434,007.30, 651,010.95 and 276,348.90

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Solution

The fourth proportional to 434,007.30, 651,010.95 and 276,348.90 is: 414,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,007.30 : 651,010.95 = 276,348.90 : x
  2. Step 2: Convert to fraction form
    434,007.30/651,010.95 = 276,348.90/x
  3. Step 3: Cross multiply
    434,007.30x = 651,010.95 × 276,348.90
  4. Step 4: Simplify right side
    434,007.30x = 179,906,159,920.46
  5. Step 5: Solve for x
    x = 179,906,159,920.46/434,007.30
  6. Step 6: Final answer
    x = 414,523.35

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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.