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Finding the Fourth Proportional to 463,470.58, 639,241.23 and 310,681.09

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Solution

The fourth proportional to 463,470.58, 639,241.23 and 310,681.09 is: 428,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,470.58 : 639,241.23 = 310,681.09 : x
  2. Step 2: Convert to fraction form
    463,470.58/639,241.23 = 310,681.09/x
  3. Step 3: Cross multiply
    463,470.58x = 639,241.23 × 310,681.09
  4. Step 4: Simplify right side
    463,470.58x = 198,600,162,109.34
  5. Step 5: Solve for x
    x = 198,600,162,109.34/463,470.58
  6. Step 6: Final answer
    x = 428,506.51

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1.5x scale

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.