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Finding the Fourth Proportional to 310,197.46, 427,963.48 and 202,830.34

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Solution

The fourth proportional to 310,197.46, 427,963.48 and 202,830.34 is: 279,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,197.46 : 427,963.48 = 202,830.34 : x
  2. Step 2: Convert to fraction form
    310,197.46/427,963.48 = 202,830.34/x
  3. Step 3: Cross multiply
    310,197.46x = 427,963.48 × 202,830.34
  4. Step 4: Simplify right side
    310,197.46x = 86,803,978,155.98
  5. Step 5: Solve for x
    x = 86,803,978,155.98/310,197.46
  6. Step 6: Final answer
    x = 279,834.59

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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.