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Finding the Fourth Proportional to 315,275.50, 435,078.63 and 172,035.10

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Solution

The fourth proportional to 315,275.50, 435,078.63 and 172,035.10 is: 237,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,275.50 : 435,078.63 = 172,035.10 : x
  2. Step 2: Convert to fraction form
    315,275.50/435,078.63 = 172,035.10/x
  3. Step 3: Cross multiply
    315,275.50x = 435,078.63 × 172,035.10
  4. Step 4: Simplify right side
    315,275.50x = 74,848,795,619.91
  5. Step 5: Solve for x
    x = 74,848,795,619.91/315,275.50
  6. Step 6: Final answer
    x = 237,407.59

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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.