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Finding the Fourth Proportional to 426,830.40, 639,403.20 and 216,619.20

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Solution

The fourth proportional to 426,830.40, 639,403.20 and 216,619.20 is: 324,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,830.40 : 639,403.20 = 216,619.20 : x
  2. Step 2: Convert to fraction form
    426,830.40/639,403.20 = 216,619.20/x
  3. Step 3: Cross multiply
    426,830.40x = 639,403.20 × 216,619.20
  4. Step 4: Simplify right side
    426,830.40x = 138,507,009,661.44
  5. Step 5: Solve for x
    x = 138,507,009,661.44/426,830.40
  6. Step 6: Final answer
    x = 324,501.28

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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.