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Finding the Fourth Proportional to 706,462,974.72, 974,940,572.16 and 393,214,590.72

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Solution

The fourth proportional to 706,462,974.72, 974,940,572.16 and 393,214,590.72 is: 542,648,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,462,974.72 : 974,940,572.16 = 393,214,590.72 : x
  2. Step 2: Convert to fraction form
    706,462,974.72/974,940,572.16 = 393,214,590.72/x
  3. Step 3: Cross multiply
    706,462,974.72x = 974,940,572.16 × 393,214,590.72
  4. Step 4: Simplify right side
    706,462,974.72x = 383,360,858,058,217,024
  5. Step 5: Solve for x
    x = 383,360,858,058,217,024/706,462,974.72
  6. Step 6: Final answer
    x = 542,648,194.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.