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Finding the Fourth Proportional to 409,728,546.80, 614,592,820.20 and 338,949,666.80

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Solution

The fourth proportional to 409,728,546.80, 614,592,820.20 and 338,949,666.80 is: 508,424,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,728,546.80 : 614,592,820.20 = 338,949,666.80 : x
  2. Step 2: Convert to fraction form
    409,728,546.80/614,592,820.20 = 338,949,666.80/x
  3. Step 3: Cross multiply
    409,728,546.80x = 614,592,820.20 × 338,949,666.80
  4. Step 4: Simplify right side
    409,728,546.80x = 208,316,031,624,462,336
  5. Step 5: Solve for x
    x = 208,316,031,624,462,336/409,728,546.80
  6. Step 6: Final answer
    x = 508,424,500.20

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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.