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Finding the Fourth Proportional to 309,470,446.80, 463,674,828.60 and 147,563,758.80

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Solution

The fourth proportional to 309,470,446.80, 463,674,828.60 and 147,563,758.80 is: 221,092,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,470,446.80 : 463,674,828.60 = 147,563,758.80 : x
  2. Step 2: Convert to fraction form
    309,470,446.80/463,674,828.60 = 147,563,758.80/x
  3. Step 3: Cross multiply
    309,470,446.80x = 463,674,828.60 × 147,563,758.80
  4. Step 4: Simplify right side
    309,470,446.80x = 68,421,600,569,161,752
  5. Step 5: Solve for x
    x = 68,421,600,569,161,752/309,470,446.80
  6. Step 6: Final answer
    x = 221,092,518.77

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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.