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Finding the Fourth Proportional to 312,298.29, 430,971.16 and 169,058.30

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Solution

The fourth proportional to 312,298.29, 430,971.16 and 169,058.30 is: 233,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,298.29 : 430,971.16 = 169,058.30 : x
  2. Step 2: Convert to fraction form
    312,298.29/430,971.16 = 169,058.30/x
  3. Step 3: Cross multiply
    312,298.29x = 430,971.16 × 169,058.30
  4. Step 4: Simplify right side
    312,298.29x = 72,859,251,014.25
  5. Step 5: Solve for x
    x = 72,859,251,014.25/312,298.29
  6. Step 6: Final answer
    x = 233,300.19

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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.