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Finding the Fourth Proportional to 519,417.40, 780,308.40 and 375,766.30

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Solution

The fourth proportional to 519,417.40, 780,308.40 and 375,766.30 is: 564,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,417.40 : 780,308.40 = 375,766.30 : x
  2. Step 2: Convert to fraction form
    519,417.40/780,308.40 = 375,766.30/x
  3. Step 3: Cross multiply
    519,417.40x = 780,308.40 × 375,766.30
  4. Step 4: Simplify right side
    519,417.40x = 293,213,600,326.92
  5. Step 5: Solve for x
    x = 293,213,600,326.92/519,417.40
  6. Step 6: Final answer
    x = 564,504.77

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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.