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Finding the Fourth Proportional to 553,433.10, 830,149.86 and 427,257.54

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Solution

The fourth proportional to 553,433.10, 830,149.86 and 427,257.54 is: 640,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,433.10 : 830,149.86 = 427,257.54 : x
  2. Step 2: Convert to fraction form
    553,433.10/830,149.86 = 427,257.54/x
  3. Step 3: Cross multiply
    553,433.10x = 830,149.86 × 427,257.54
  4. Step 4: Simplify right side
    553,433.10x = 354,687,787,014.94
  5. Step 5: Solve for x
    x = 354,687,787,014.94/553,433.10
  6. Step 6: Final answer
    x = 640,886.47

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1.5x scale

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.