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Finding the Fourth Proportional to 464,915.80, 639,570.48 and 407,295.64

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Solution

The fourth proportional to 464,915.80, 639,570.48 and 407,295.64 is: 560,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,915.80 : 639,570.48 = 407,295.64 : x
  2. Step 2: Convert to fraction form
    464,915.80/639,570.48 = 407,295.64/x
  3. Step 3: Cross multiply
    464,915.80x = 639,570.48 × 407,295.64
  4. Step 4: Simplify right side
    464,915.80x = 260,494,267,976.71
  5. Step 5: Solve for x
    x = 260,494,267,976.71/464,915.80
  6. Step 6: Final answer
    x = 560,304.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.