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Finding the Fourth Proportional to 421,369.81, 632,114.69 and 136,968.93

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Solution

The fourth proportional to 421,369.81, 632,114.69 and 136,968.93 is: 205,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,369.81 : 632,114.69 = 136,968.93 : x
  2. Step 2: Convert to fraction form
    421,369.81/632,114.69 = 136,968.93/x
  3. Step 3: Cross multiply
    421,369.81x = 632,114.69 × 136,968.93
  4. Step 4: Simplify right side
    421,369.81x = 86,580,072,041.74
  5. Step 5: Solve for x
    x = 86,580,072,041.74/421,369.81
  6. Step 6: Final answer
    x = 205,472.89

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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.