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Finding the Fourth Proportional to 315,186.40, 472,779.60 and 310,520.80

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Solution

The fourth proportional to 315,186.40, 472,779.60 and 310,520.80 is: 465,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,186.40 : 472,779.60 = 310,520.80 : x
  2. Step 2: Convert to fraction form
    315,186.40/472,779.60 = 310,520.80/x
  3. Step 3: Cross multiply
    315,186.40x = 472,779.60 × 310,520.80
  4. Step 4: Simplify right side
    315,186.40x = 146,807,899,615.68
  5. Step 5: Solve for x
    x = 146,807,899,615.68/315,186.40
  6. Step 6: Final answer
    x = 465,781.20

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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.