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Finding the Fourth Proportional to 282,930.76, 390,447.71 and 155,608.48

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Solution

The fourth proportional to 282,930.76, 390,447.71 and 155,608.48 is: 214,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,930.76 : 390,447.71 = 155,608.48 : x
  2. Step 2: Convert to fraction form
    282,930.76/390,447.71 = 155,608.48/x
  3. Step 3: Cross multiply
    282,930.76x = 390,447.71 × 155,608.48
  4. Step 4: Simplify right side
    282,930.76x = 60,756,974,672.58
  5. Step 5: Solve for x
    x = 60,756,974,672.58/282,930.76
  6. Step 6: Final answer
    x = 214,741.50

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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.