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Finding the Fourth Proportional to 212,717.40, 319,076.10 and 199,595.40

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Solution

The fourth proportional to 212,717.40, 319,076.10 and 199,595.40 is: 299,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,717.40 : 319,076.10 = 199,595.40 : x
  2. Step 2: Convert to fraction form
    212,717.40/319,076.10 = 199,595.40/x
  3. Step 3: Cross multiply
    212,717.40x = 319,076.10 × 199,595.40
  4. Step 4: Simplify right side
    212,717.40x = 63,686,121,809.94
  5. Step 5: Solve for x
    x = 63,686,121,809.94/212,717.40
  6. Step 6: Final answer
    x = 299,393.10

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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.