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Finding the Fourth Proportional to 553,956.10, 830,934.38 and 427,780.78

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Solution

The fourth proportional to 553,956.10, 830,934.38 and 427,780.78 is: 641,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,956.10 : 830,934.38 = 427,780.78 : x
  2. Step 2: Convert to fraction form
    553,956.10/830,934.38 = 427,780.78/x
  3. Step 3: Cross multiply
    553,956.10x = 830,934.38 × 427,780.78
  4. Step 4: Simplify right side
    553,956.10x = 355,457,757,205.22
  5. Step 5: Solve for x
    x = 355,457,757,205.22/553,956.10
  6. Step 6: Final answer
    x = 641,671.35

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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.