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Finding the Fourth Proportional to 315,374.90, 473,699.04 and 189,254.66

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Solution

The fourth proportional to 315,374.90, 473,699.04 and 189,254.66 is: 284,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,374.90 : 473,699.04 = 189,254.66 : x
  2. Step 2: Convert to fraction form
    315,374.90/473,699.04 = 189,254.66/x
  3. Step 3: Cross multiply
    315,374.90x = 473,699.04 × 189,254.66
  4. Step 4: Simplify right side
    315,374.90x = 89,649,750,757.53
  5. Step 5: Solve for x
    x = 89,649,750,757.53/315,374.90
  6. Step 6: Final answer
    x = 284,264.06

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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.