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Finding the Fourth Proportional to 315,459.40, 473,189.10 and 165,641.80

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Solution

The fourth proportional to 315,459.40, 473,189.10 and 165,641.80 is: 248,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,459.40 : 473,189.10 = 165,641.80 : x
  2. Step 2: Convert to fraction form
    315,459.40/473,189.10 = 165,641.80/x
  3. Step 3: Cross multiply
    315,459.40x = 473,189.10 × 165,641.80
  4. Step 4: Simplify right side
    315,459.40x = 78,379,894,264.38
  5. Step 5: Solve for x
    x = 78,379,894,264.38/315,459.40
  6. Step 6: Final answer
    x = 248,462.70

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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.