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Finding the Fourth Proportional to 896,919,337.80, 1,345,379,006.70 and 413,189,929.80

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Solution

The fourth proportional to 896,919,337.80, 1,345,379,006.70 and 413,189,929.80 is: 619,784,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,919,337.80 : 1,345,379,006.70 = 413,189,929.80 : x
  2. Step 2: Convert to fraction form
    896,919,337.80/1,345,379,006.70 = 413,189,929.80/x
  3. Step 3: Cross multiply
    896,919,337.80x = 1,345,379,006.70 × 413,189,929.80
  4. Step 4: Simplify right side
    896,919,337.80x = 555,897,057,332,766,784
  5. Step 5: Solve for x
    x = 555,897,057,332,766,784/896,919,337.80
  6. Step 6: Final answer
    x = 619,784,894.70

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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.