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Finding the Fourth Proportional to 282,458, 389,629.32 and 169,215.14

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Solution

The fourth proportional to 282,458, 389,629.32 and 169,215.14 is: 233,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,458 : 389,629.32 = 169,215.14 : x
  2. Step 2: Convert to fraction form
    282,458/389,629.32 = 169,215.14/x
  3. Step 3: Cross multiply
    282,458x = 389,629.32 × 169,215.14
  4. Step 4: Simplify right side
    282,458x = 65,931,179,931.90
  5. Step 5: Solve for x
    x = 65,931,179,931.90/282,458
  6. Step 6: Final answer
    x = 233,419.41

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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.