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Finding the Fourth Proportional to 310,197.93, 427,964.13 and 202,830.81

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Solution

The fourth proportional to 310,197.93, 427,964.13 and 202,830.81 is: 279,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,197.93 : 427,964.13 = 202,830.81 : x
  2. Step 2: Convert to fraction form
    310,197.93/427,964.13 = 202,830.81/x
  3. Step 3: Cross multiply
    310,197.93x = 427,964.13 × 202,830.81
  4. Step 4: Simplify right side
    310,197.93x = 86,804,311,138.85
  5. Step 5: Solve for x
    x = 86,804,311,138.85/310,197.93
  6. Step 6: Final answer
    x = 279,835.24

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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.