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Finding the Fourth Proportional to 342,641.06, 472,848.40 and 189,681.81

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Solution

The fourth proportional to 342,641.06, 472,848.40 and 189,681.81 is: 261,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,641.06 : 472,848.40 = 189,681.81 : x
  2. Step 2: Convert to fraction form
    342,641.06/472,848.40 = 189,681.81/x
  3. Step 3: Cross multiply
    342,641.06x = 472,848.40 × 189,681.81
  4. Step 4: Simplify right side
    342,641.06x = 89,690,738,003.36
  5. Step 5: Solve for x
    x = 89,690,738,003.36/342,641.06
  6. Step 6: Final answer
    x = 261,762.96

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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.