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Finding the Fourth Proportional to 421,462,071.02, 631,937,106.63 and 211,128,144.45

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Solution

The fourth proportional to 421,462,071.02, 631,937,106.63 and 211,128,144.45 is: 316,563,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,462,071.02 : 631,937,106.63 = 211,128,144.45 : x
  2. Step 2: Convert to fraction form
    421,462,071.02/631,937,106.63 = 211,128,144.45/x
  3. Step 3: Cross multiply
    421,462,071.02x = 631,937,106.63 × 211,128,144.45
  4. Step 4: Simplify right side
    421,462,071.02x = 133,419,708,731,893,680
  5. Step 5: Solve for x
    x = 133,419,708,731,893,680/421,462,071.02
  6. Step 6: Final answer
    x = 316,563,975.52

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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.