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Finding the Fourth Proportional to 512,563.40, 767,030.70 and 446,726.60

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Solution

The fourth proportional to 512,563.40, 767,030.70 and 446,726.60 is: 668,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,563.40 : 767,030.70 = 446,726.60 : x
  2. Step 2: Convert to fraction form
    512,563.40/767,030.70 = 446,726.60/x
  3. Step 3: Cross multiply
    512,563.40x = 767,030.70 × 446,726.60
  4. Step 4: Simplify right side
    512,563.40x = 342,653,016,706.62
  5. Step 5: Solve for x
    x = 342,653,016,706.62/512,563.40
  6. Step 6: Final answer
    x = 668,508.55

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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.