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Finding the Fourth Proportional to 647,531.76, 970,466.40 and 310,066.76

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Solution

The fourth proportional to 647,531.76, 970,466.40 and 310,066.76 is: 464,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,531.76 : 970,466.40 = 310,066.76 : x
  2. Step 2: Convert to fraction form
    647,531.76/970,466.40 = 310,066.76/x
  3. Step 3: Cross multiply
    647,531.76x = 970,466.40 × 310,066.76
  4. Step 4: Simplify right side
    647,531.76x = 300,909,372,336.86
  5. Step 5: Solve for x
    x = 300,909,372,336.86/647,531.76
  6. Step 6: Final answer
    x = 464,702.11

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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.