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Finding the Fourth Proportional to 713,616.38, 1,070,157.88 and 287,008.22

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Solution

The fourth proportional to 713,616.38, 1,070,157.88 and 287,008.22 is: 430,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,616.38 : 1,070,157.88 = 287,008.22 : x
  2. Step 2: Convert to fraction form
    713,616.38/1,070,157.88 = 287,008.22/x
  3. Step 3: Cross multiply
    713,616.38x = 1,070,157.88 × 287,008.22
  4. Step 4: Simplify right side
    713,616.38x = 307,144,108,257.77
  5. Step 5: Solve for x
    x = 307,144,108,257.77/713,616.38
  6. Step 6: Final answer
    x = 430,405.07

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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.