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Finding the Fourth Proportional to 409,656,279.80, 614,484,419.70 and 409,656,279.80

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Solution

The fourth proportional to 409,656,279.80, 614,484,419.70 and 409,656,279.80 is: 614,484,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,656,279.80 : 614,484,419.70 = 409,656,279.80 : x
  2. Step 2: Convert to fraction form
    409,656,279.80/614,484,419.70 = 409,656,279.80/x
  3. Step 3: Cross multiply
    409,656,279.80x = 614,484,419.70 × 409,656,279.80
  4. Step 4: Simplify right side
    409,656,279.80x = 251,727,401,369,363,872
  5. Step 5: Solve for x
    x = 251,727,401,369,363,872/409,656,279.80
  6. Step 6: Final answer
    x = 614,484,419.70

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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.