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Finding the Fourth Proportional to 419,714,817.80, 629,572,226.70 and 343,124,328.20

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Solution

The fourth proportional to 419,714,817.80, 629,572,226.70 and 343,124,328.20 is: 514,686,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,714,817.80 : 629,572,226.70 = 343,124,328.20 : x
  2. Step 2: Convert to fraction form
    419,714,817.80/629,572,226.70 = 343,124,328.20/x
  3. Step 3: Cross multiply
    419,714,817.80x = 629,572,226.70 × 343,124,328.20
  4. Step 4: Simplify right side
    419,714,817.80x = 216,021,547,339,815,616
  5. Step 5: Solve for x
    x = 216,021,547,339,815,616/419,714,817.80
  6. Step 6: Final answer
    x = 514,686,492.30

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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.