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Finding the Fourth Proportional to 310,202.59, 427,970.56 and 202,835.47

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Solution

The fourth proportional to 310,202.59, 427,970.56 and 202,835.47 is: 279,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,202.59 : 427,970.56 = 202,835.47 : x
  2. Step 2: Convert to fraction form
    310,202.59/427,970.56 = 202,835.47/x
  3. Step 3: Cross multiply
    310,202.59x = 427,970.56 × 202,835.47
  4. Step 4: Simplify right side
    310,202.59x = 86,807,606,529.73
  5. Step 5: Solve for x
    x = 86,807,606,529.73/310,202.59
  6. Step 6: Final answer
    x = 279,841.66

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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.