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Finding the Fourth Proportional to 426,098,337.60, 637,803,813.60 and 412,661,409.60

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Solution

The fourth proportional to 426,098,337.60, 637,803,813.60 and 412,661,409.60 is: 617,690,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,098,337.60 : 637,803,813.60 = 412,661,409.60 : x
  2. Step 2: Convert to fraction form
    426,098,337.60/637,803,813.60 = 412,661,409.60/x
  3. Step 3: Cross multiply
    426,098,337.60x = 637,803,813.60 × 412,661,409.60
  4. Step 4: Simplify right side
    426,098,337.60x = 263,197,020,768,431,680
  5. Step 5: Solve for x
    x = 263,197,020,768,431,680/426,098,337.60
  6. Step 6: Final answer
    x = 617,690,794.69

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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.