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Finding the Fourth Proportional to 315,457.90, 435,338.49 and 172,223.98

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Solution

The fourth proportional to 315,457.90, 435,338.49 and 172,223.98 is: 237,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,457.90 : 435,338.49 = 172,223.98 : x
  2. Step 2: Convert to fraction form
    315,457.90/435,338.49 = 172,223.98/x
  3. Step 3: Cross multiply
    315,457.90x = 435,338.49 × 172,223.98
  4. Step 4: Simplify right side
    315,457.90x = 74,975,727,394.99
  5. Step 5: Solve for x
    x = 74,975,727,394.99/315,457.90
  6. Step 6: Final answer
    x = 237,672.69

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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.