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Finding the Fourth Proportional to 210,155.40, 315,233.10 and 185,223.60

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Solution

The fourth proportional to 210,155.40, 315,233.10 and 185,223.60 is: 277,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,155.40 : 315,233.10 = 185,223.60 : x
  2. Step 2: Convert to fraction form
    210,155.40/315,233.10 = 185,223.60/x
  3. Step 3: Cross multiply
    210,155.40x = 315,233.10 × 185,223.60
  4. Step 4: Simplify right side
    210,155.40x = 58,388,609,621.16
  5. Step 5: Solve for x
    x = 58,388,609,621.16/210,155.40
  6. Step 6: Final answer
    x = 277,835.40

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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.