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Finding the Fourth Proportional to 312,392.14, 431,100.53 and 169,152.60

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Solution

The fourth proportional to 312,392.14, 431,100.53 and 169,152.60 is: 233,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,392.14 : 431,100.53 = 169,152.60 : x
  2. Step 2: Convert to fraction form
    312,392.14/431,100.53 = 169,152.60/x
  3. Step 3: Cross multiply
    312,392.14x = 431,100.53 × 169,152.60
  4. Step 4: Simplify right side
    312,392.14x = 72,921,776,916.06
  5. Step 5: Solve for x
    x = 72,921,776,916.06/312,392.14
  6. Step 6: Final answer
    x = 233,430.25

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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.