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Finding the Fourth Proportional to 282,386.66, 389,426.46 and 185,419.46

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Solution

The fourth proportional to 282,386.66, 389,426.46 and 185,419.46 is: 255,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,386.66 : 389,426.46 = 185,419.46 : x
  2. Step 2: Convert to fraction form
    282,386.66/389,426.46 = 185,419.46/x
  3. Step 3: Cross multiply
    282,386.66x = 389,426.46 × 185,419.46
  4. Step 4: Simplify right side
    282,386.66x = 72,207,241,975.78
  5. Step 5: Solve for x
    x = 72,207,241,975.78/282,386.66
  6. Step 6: Final answer
    x = 255,703.45

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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.