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Finding the Fourth Proportional to 310,202.28, 427,970.13 and 202,835.16

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Solution

The fourth proportional to 310,202.28, 427,970.13 and 202,835.16 is: 279,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,202.28 : 427,970.13 = 202,835.16 : x
  2. Step 2: Convert to fraction form
    310,202.28/427,970.13 = 202,835.16/x
  3. Step 3: Cross multiply
    310,202.28x = 427,970.13 × 202,835.16
  4. Step 4: Simplify right side
    310,202.28x = 86,807,386,639.74
  5. Step 5: Solve for x
    x = 86,807,386,639.74/310,202.28
  6. Step 6: Final answer
    x = 279,841.23

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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.