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Finding the Fourth Proportional to 309,460,666.20, 464,190,999.30 and 309,460,666.20

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Solution

The fourth proportional to 309,460,666.20, 464,190,999.30 and 309,460,666.20 is: 464,190,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,460,666.20 : 464,190,999.30 = 309,460,666.20 : x
  2. Step 2: Convert to fraction form
    309,460,666.20/464,190,999.30 = 309,460,666.20/x
  3. Step 3: Cross multiply
    309,460,666.20x = 464,190,999.30 × 309,460,666.20
  4. Step 4: Simplify right side
    309,460,666.20x = 143,648,855,887,421,728
  5. Step 5: Solve for x
    x = 143,648,855,887,421,728/309,460,666.20
  6. Step 6: Final answer
    x = 464,190,999.30

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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.