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Finding the Fourth Proportional to 601,942.65, 830,142.81 and 398,201.73

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Solution

The fourth proportional to 601,942.65, 830,142.81 and 398,201.73 is: 549,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,942.65 : 830,142.81 = 398,201.73 : x
  2. Step 2: Convert to fraction form
    601,942.65/830,142.81 = 398,201.73/x
  3. Step 3: Cross multiply
    601,942.65x = 830,142.81 × 398,201.73
  4. Step 4: Simplify right side
    601,942.65x = 330,564,303,089.06
  5. Step 5: Solve for x
    x = 330,564,303,089.06/601,942.65
  6. Step 6: Final answer
    x = 549,162.45

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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.