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Finding the Fourth Proportional to 282,004.50, 389,253.35 and 181,402.50

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Solution

The fourth proportional to 282,004.50, 389,253.35 and 181,402.50 is: 250,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,004.50 : 389,253.35 = 181,402.50 : x
  2. Step 2: Convert to fraction form
    282,004.50/389,253.35 = 181,402.50/x
  3. Step 3: Cross multiply
    282,004.50x = 389,253.35 × 181,402.50
  4. Step 4: Simplify right side
    282,004.50x = 70,611,527,970.10
  5. Step 5: Solve for x
    x = 70,611,527,970.10/282,004.50
  6. Step 6: Final answer
    x = 250,391.50

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1.5x scale

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.