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Finding the Fourth Proportional to 452,054.40, 678,859.20 and 319,862.40

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Solution

The fourth proportional to 452,054.40, 678,859.20 and 319,862.40 is: 480,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,054.40 : 678,859.20 = 319,862.40 : x
  2. Step 2: Convert to fraction form
    452,054.40/678,859.20 = 319,862.40/x
  3. Step 3: Cross multiply
    452,054.40x = 678,859.20 × 319,862.40
  4. Step 4: Simplify right side
    452,054.40x = 217,141,532,974.08
  5. Step 5: Solve for x
    x = 217,141,532,974.08/452,054.40
  6. Step 6: Final answer
    x = 480,343.81

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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.