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Finding the Fourth Proportional to 1,569,105.90, 2,353,658.85 and 771,944.40

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Solution

The fourth proportional to 1,569,105.90, 2,353,658.85 and 771,944.40 is: 1,157,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,105.90 : 2,353,658.85 = 771,944.40 : x
  2. Step 2: Convert to fraction form
    1,569,105.90/2,353,658.85 = 771,944.40/x
  3. Step 3: Cross multiply
    1,569,105.90x = 2,353,658.85 × 771,944.40
  4. Step 4: Simplify right side
    1,569,105.90x = 1,816,893,768,767.94
  5. Step 5: Solve for x
    x = 1,816,893,768,767.94/1,569,105.90
  6. Step 6: Final answer
    x = 1,157,916.60

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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.