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Finding the Fourth Proportional to 631,864,838.70, 871,968,719.12 and 353,406,375.90

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Solution

The fourth proportional to 631,864,838.70, 871,968,719.12 and 353,406,375.90 is: 487,698,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,864,838.70 : 871,968,719.12 = 353,406,375.90 : x
  2. Step 2: Convert to fraction form
    631,864,838.70/871,968,719.12 = 353,406,375.90/x
  3. Step 3: Cross multiply
    631,864,838.70x = 871,968,719.12 × 353,406,375.90
  4. Step 4: Simplify right side
    631,864,838.70x = 308,159,304,920,597,184
  5. Step 5: Solve for x
    x = 308,159,304,920,597,184/631,864,838.70
  6. Step 6: Final answer
    x = 487,698,137.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.