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Finding the Fourth Proportional to 312,566.34, 431,341.10 and 169,326.96

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Solution

The fourth proportional to 312,566.34, 431,341.10 and 169,326.96 is: 233,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,566.34 : 431,341.10 = 169,326.96 : x
  2. Step 2: Convert to fraction form
    312,566.34/431,341.10 = 169,326.96/x
  3. Step 3: Cross multiply
    312,566.34x = 431,341.10 × 169,326.96
  4. Step 4: Simplify right side
    312,566.34x = 73,037,677,186.06
  5. Step 5: Solve for x
    x = 73,037,677,186.06/312,566.34
  6. Step 6: Final answer
    x = 233,670.96

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1.5x scale

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.