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Finding the Fourth Proportional to 421,462,072.02, 631,937,108.13 and 211,128,145.45

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Solution

The fourth proportional to 421,462,072.02, 631,937,108.13 and 211,128,145.45 is: 316,563,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,462,072.02 : 631,937,108.13 = 211,128,145.45 : x
  2. Step 2: Convert to fraction form
    421,462,072.02/631,937,108.13 = 211,128,145.45/x
  3. Step 3: Cross multiply
    421,462,072.02x = 631,937,108.13 × 211,128,145.45
  4. Step 4: Simplify right side
    421,462,072.02x = 133,419,709,680,523,008
  5. Step 5: Solve for x
    x = 133,419,709,680,523,008/421,462,072.02
  6. Step 6: Final answer
    x = 316,563,977.02

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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.