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Finding the Fourth Proportional to 282,415.52, 389,734.50 and 153,354.20

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Solution

The fourth proportional to 282,415.52, 389,734.50 and 153,354.20 is: 211,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,415.52 : 389,734.50 = 153,354.20 : x
  2. Step 2: Convert to fraction form
    282,415.52/389,734.50 = 153,354.20/x
  3. Step 3: Cross multiply
    282,415.52x = 389,734.50 × 153,354.20
  4. Step 4: Simplify right side
    282,415.52x = 59,767,422,459.90
  5. Step 5: Solve for x
    x = 59,767,422,459.90/282,415.52
  6. Step 6: Final answer
    x = 211,629.38

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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.