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Finding the Fourth Proportional to 282,461.40, 389,797.05 and 153,399.96

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Solution

The fourth proportional to 282,461.40, 389,797.05 and 153,399.96 is: 211,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,461.40 : 389,797.05 = 153,399.96 : x
  2. Step 2: Convert to fraction form
    282,461.40/389,797.05 = 153,399.96/x
  3. Step 3: Cross multiply
    282,461.40x = 389,797.05 × 153,399.96
  4. Step 4: Simplify right side
    282,461.40x = 59,794,849,929.13
  5. Step 5: Solve for x
    x = 59,794,849,929.13/282,461.40
  6. Step 6: Final answer
    x = 211,692.11

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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.