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Finding the Fourth Proportional to 315,441.48, 435,316.70 and 172,202.60

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Solution

The fourth proportional to 315,441.48, 435,316.70 and 172,202.60 is: 237,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,441.48 : 435,316.70 = 172,202.60 : x
  2. Step 2: Convert to fraction form
    315,441.48/435,316.70 = 172,202.60/x
  3. Step 3: Cross multiply
    315,441.48x = 435,316.70 × 172,202.60
  4. Step 4: Simplify right side
    315,441.48x = 74,962,669,082.22
  5. Step 5: Solve for x
    x = 74,962,669,082.22/315,441.48
  6. Step 6: Final answer
    x = 237,643.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.