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Finding the Fourth Proportional to 523,675.40, 783,698.70 and 313,464.20

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Solution

The fourth proportional to 523,675.40, 783,698.70 and 313,464.20 is: 469,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,675.40 : 783,698.70 = 313,464.20 : x
  2. Step 2: Convert to fraction form
    523,675.40/783,698.70 = 313,464.20/x
  3. Step 3: Cross multiply
    523,675.40x = 783,698.70 × 313,464.20
  4. Step 4: Simplify right side
    523,675.40x = 245,661,486,036.54
  5. Step 5: Solve for x
    x = 245,661,486,036.54/523,675.40
  6. Step 6: Final answer
    x = 469,110.23

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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.