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Finding the Fourth Proportional to 587,317.30, 810,305.10 and 329,156.50

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Solution

The fourth proportional to 587,317.30, 810,305.10 and 329,156.50 is: 454,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,317.30 : 810,305.10 = 329,156.50 : x
  2. Step 2: Convert to fraction form
    587,317.30/810,305.10 = 329,156.50/x
  3. Step 3: Cross multiply
    587,317.30x = 810,305.10 × 329,156.50
  4. Step 4: Simplify right side
    587,317.30x = 266,717,190,648.15
  5. Step 5: Solve for x
    x = 266,717,190,648.15/587,317.30
  6. Step 6: Final answer
    x = 454,127.93

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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.