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Finding the Fourth Proportional to 315,061.40, 472,592.10 and 196,866.20

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Solution

The fourth proportional to 315,061.40, 472,592.10 and 196,866.20 is: 295,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,061.40 : 472,592.10 = 196,866.20 : x
  2. Step 2: Convert to fraction form
    315,061.40/472,592.10 = 196,866.20/x
  3. Step 3: Cross multiply
    315,061.40x = 472,592.10 × 196,866.20
  4. Step 4: Simplify right side
    315,061.40x = 93,037,410,877.02
  5. Step 5: Solve for x
    x = 93,037,410,877.02/315,061.40
  6. Step 6: Final answer
    x = 295,299.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.