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Finding the Fourth Proportional to 614,939.20, 922,408.80 and 216,030.40

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Solution

The fourth proportional to 614,939.20, 922,408.80 and 216,030.40 is: 324,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,939.20 : 922,408.80 = 216,030.40 : x
  2. Step 2: Convert to fraction form
    614,939.20/922,408.80 = 216,030.40/x
  3. Step 3: Cross multiply
    614,939.20x = 922,408.80 × 216,030.40
  4. Step 4: Simplify right side
    614,939.20x = 199,268,342,027.52
  5. Step 5: Solve for x
    x = 199,268,342,027.52/614,939.20
  6. Step 6: Final answer
    x = 324,045.60

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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.