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Finding the Fourth Proportional to 287,213.80, 430,839.90 and 97,671.40

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Solution

The fourth proportional to 287,213.80, 430,839.90 and 97,671.40 is: 146,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,213.80 : 430,839.90 = 97,671.40 : x
  2. Step 2: Convert to fraction form
    287,213.80/430,839.90 = 97,671.40/x
  3. Step 3: Cross multiply
    287,213.80x = 430,839.90 × 97,671.40
  4. Step 4: Simplify right side
    287,213.80x = 42,080,736,208.86
  5. Step 5: Solve for x
    x = 42,080,736,208.86/287,213.80
  6. Step 6: Final answer
    x = 146,513.63

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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.