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Finding the Fourth Proportional to 213,688.40, 320,878.20 and 154,936.40

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Solution

The fourth proportional to 213,688.40, 320,878.20 and 154,936.40 is: 232,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,688.40 : 320,878.20 = 154,936.40 : x
  2. Step 2: Convert to fraction form
    213,688.40/320,878.20 = 154,936.40/x
  3. Step 3: Cross multiply
    213,688.40x = 320,878.20 × 154,936.40
  4. Step 4: Simplify right side
    213,688.40x = 49,715,713,146.48
  5. Step 5: Solve for x
    x = 49,715,713,146.48/213,688.40
  6. Step 6: Final answer
    x = 232,655.18

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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.