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Finding the Fourth Proportional to 282,625.71, 390,019.05 and 155,298.57

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Solution

The fourth proportional to 282,625.71, 390,019.05 and 155,298.57 is: 214,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,625.71 : 390,019.05 = 155,298.57 : x
  2. Step 2: Convert to fraction form
    282,625.71/390,019.05 = 155,298.57/x
  3. Step 3: Cross multiply
    282,625.71x = 390,019.05 × 155,298.57
  4. Step 4: Simplify right side
    282,625.71x = 60,569,399,275.19
  5. Step 5: Solve for x
    x = 60,569,399,275.19/282,625.71
  6. Step 6: Final answer
    x = 214,309.59

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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.