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Finding the Fourth Proportional to 312,565.51, 431,343.38 and 169,328.63

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Solution

The fourth proportional to 312,565.51, 431,343.38 and 169,328.63 is: 233,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,565.51 : 431,343.38 = 169,328.63 : x
  2. Step 2: Convert to fraction form
    312,565.51/431,343.38 = 169,328.63/x
  3. Step 3: Cross multiply
    312,565.51x = 431,343.38 × 169,328.63
  4. Step 4: Simplify right side
    312,565.51x = 73,038,781,717.87
  5. Step 5: Solve for x
    x = 73,038,781,717.87/312,565.51
  6. Step 6: Final answer
    x = 233,675.12

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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.