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Finding the Fourth Proportional to 315,041.40, 472,562.10 and 165,223.80

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Solution

The fourth proportional to 315,041.40, 472,562.10 and 165,223.80 is: 247,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,041.40 : 472,562.10 = 165,223.80 : x
  2. Step 2: Convert to fraction form
    315,041.40/472,562.10 = 165,223.80/x
  3. Step 3: Cross multiply
    315,041.40x = 472,562.10 × 165,223.80
  4. Step 4: Simplify right side
    315,041.40x = 78,078,505,897.98
  5. Step 5: Solve for x
    x = 78,078,505,897.98/315,041.40
  6. Step 6: Final answer
    x = 247,835.70

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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.