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Finding the Fourth Proportional to 389,201.71, 583,881.36 and 164,561.78

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Solution

The fourth proportional to 389,201.71, 583,881.36 and 164,561.78 is: 246,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,201.71 : 583,881.36 = 164,561.78 : x
  2. Step 2: Convert to fraction form
    389,201.71/583,881.36 = 164,561.78/x
  3. Step 3: Cross multiply
    389,201.71x = 583,881.36 × 164,561.78
  4. Step 4: Simplify right side
    389,201.71x = 96,084,554,394.34
  5. Step 5: Solve for x
    x = 96,084,554,394.34/389,201.71
  6. Step 6: Final answer
    x = 246,875.98

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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.