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Finding the Fourth Proportional to 434,351.21, 651,754.01 and 315,390.83

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Solution

The fourth proportional to 434,351.21, 651,754.01 and 315,390.83 is: 473,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,351.21 : 651,754.01 = 315,390.83 : x
  2. Step 2: Convert to fraction form
    434,351.21/651,754.01 = 315,390.83/x
  3. Step 3: Cross multiply
    434,351.21x = 651,754.01 × 315,390.83
  4. Step 4: Simplify right side
    434,351.21x = 205,557,235,699.44
  5. Step 5: Solve for x
    x = 205,557,235,699.44/434,351.21
  6. Step 6: Final answer
    x = 473,251.22

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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.