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Finding the Fourth Proportional to 421,957,703.34, 632,691,214.74 and 159,662,516.56

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Solution

The fourth proportional to 421,957,703.34, 632,691,214.74 and 159,662,516.56 is: 239,400,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,957,703.34 : 632,691,214.74 = 159,662,516.56 : x
  2. Step 2: Convert to fraction form
    421,957,703.34/632,691,214.74 = 159,662,516.56/x
  3. Step 3: Cross multiply
    421,957,703.34x = 632,691,214.74 × 159,662,516.56
  4. Step 4: Simplify right side
    421,957,703.34x = 101,017,071,550,791,776
  5. Step 5: Solve for x
    x = 101,017,071,550,791,776/421,957,703.34
  6. Step 6: Final answer
    x = 239,400,941.73

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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.