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Finding the Fourth Proportional to 315,465.80, 473,328.30 and 115,881.80

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Solution

The fourth proportional to 315,465.80, 473,328.30 and 115,881.80 is: 173,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,465.80 : 473,328.30 = 115,881.80 : x
  2. Step 2: Convert to fraction form
    315,465.80/473,328.30 = 115,881.80/x
  3. Step 3: Cross multiply
    315,465.80x = 473,328.30 × 115,881.80
  4. Step 4: Simplify right side
    315,465.80x = 54,850,135,394.94
  5. Step 5: Solve for x
    x = 54,850,135,394.94/315,465.80
  6. Step 6: Final answer
    x = 173,870.31

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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.