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Finding the Fourth Proportional to 310,023.10, 427,922.76 and 202,609.81

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Solution

The fourth proportional to 310,023.10, 427,922.76 and 202,609.81 is: 279,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,023.10 : 427,922.76 = 202,609.81 : x
  2. Step 2: Convert to fraction form
    310,023.10/427,922.76 = 202,609.81/x
  3. Step 3: Cross multiply
    310,023.10x = 427,922.76 × 202,609.81
  4. Step 4: Simplify right side
    310,023.10x = 86,701,349,098.28
  5. Step 5: Solve for x
    x = 86,701,349,098.28/310,023.10
  6. Step 6: Final answer
    x = 279,660.93

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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.