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Finding the Fourth Proportional to 553,568.10, 830,352.15 and 419,723.70

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Solution

The fourth proportional to 553,568.10, 830,352.15 and 419,723.70 is: 629,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,568.10 : 830,352.15 = 419,723.70 : x
  2. Step 2: Convert to fraction form
    553,568.10/830,352.15 = 419,723.70/x
  3. Step 3: Cross multiply
    553,568.10x = 830,352.15 × 419,723.70
  4. Step 4: Simplify right side
    553,568.10x = 348,518,476,700.96
  5. Step 5: Solve for x
    x = 348,518,476,700.96/553,568.10
  6. Step 6: Final answer
    x = 629,585.55

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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.