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Finding the Fourth Proportional to 312,643.25, 431,448.06 and 169,403.18

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Solution

The fourth proportional to 312,643.25, 431,448.06 and 169,403.18 is: 233,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,643.25 : 431,448.06 = 169,403.18 : x
  2. Step 2: Convert to fraction form
    312,643.25/431,448.06 = 169,403.18/x
  3. Step 3: Cross multiply
    312,643.25x = 431,448.06 × 169,403.18
  4. Step 4: Simplify right side
    312,643.25x = 73,088,671,211.59
  5. Step 5: Solve for x
    x = 73,088,671,211.59/312,643.25
  6. Step 6: Final answer
    x = 233,776.59

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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.