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Finding the Fourth Proportional to 452,055.40, 678,860.70 and 319,863.40

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Solution

The fourth proportional to 452,055.40, 678,860.70 and 319,863.40 is: 480,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,055.40 : 678,860.70 = 319,863.40 : x
  2. Step 2: Convert to fraction form
    452,055.40/678,860.70 = 319,863.40/x
  3. Step 3: Cross multiply
    452,055.40x = 678,860.70 × 319,863.40
  4. Step 4: Simplify right side
    452,055.40x = 217,142,691,628.38
  5. Step 5: Solve for x
    x = 217,142,691,628.38/452,055.40
  6. Step 6: Final answer
    x = 480,345.31

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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.