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Finding the Fourth Proportional to 282,644.82, 390,048.66 and 161,785.50

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Solution

The fourth proportional to 282,644.82, 390,048.66 and 161,785.50 is: 223,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,644.82 : 390,048.66 = 161,785.50 : x
  2. Step 2: Convert to fraction form
    282,644.82/390,048.66 = 161,785.50/x
  3. Step 3: Cross multiply
    282,644.82x = 390,048.66 × 161,785.50
  4. Step 4: Simplify right side
    282,644.82x = 63,104,217,482.43
  5. Step 5: Solve for x
    x = 63,104,217,482.43/282,644.82
  6. Step 6: Final answer
    x = 223,263.31

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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.