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Finding the Fourth Proportional to 409,803,343.91, 614,748,076.08 and 133,476,075.61

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Solution

The fourth proportional to 409,803,343.91, 614,748,076.08 and 133,476,075.61 is: 200,228,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,803,343.91 : 614,748,076.08 = 133,476,075.61 : x
  2. Step 2: Convert to fraction form
    409,803,343.91/614,748,076.08 = 133,476,075.61/x
  3. Step 3: Cross multiply
    409,803,343.91x = 614,748,076.08 × 133,476,075.61
  4. Step 4: Simplify right side
    409,803,343.91x = 82,054,160,680,882,384
  5. Step 5: Solve for x
    x = 82,054,160,680,882,384/409,803,343.91
  6. Step 6: Final answer
    x = 200,228,138.45

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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.