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Finding the Fourth Proportional to 521,745.60, 783,568.80 and 456,427.20

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Solution

The fourth proportional to 521,745.60, 783,568.80 and 456,427.20 is: 685,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,745.60 : 783,568.80 = 456,427.20 : x
  2. Step 2: Convert to fraction form
    521,745.60/783,568.80 = 456,427.20/x
  3. Step 3: Cross multiply
    521,745.60x = 783,568.80 × 456,427.20
  4. Step 4: Simplify right side
    521,745.60x = 357,642,113,391.36
  5. Step 5: Solve for x
    x = 357,642,113,391.36/521,745.60
  6. Step 6: Final answer
    x = 685,472.22

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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.