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Finding the Fourth Proportional to 282,754.56, 390,206.16 and 155,435.52

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Solution

The fourth proportional to 282,754.56, 390,206.16 and 155,435.52 is: 214,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,754.56 : 390,206.16 = 155,435.52 : x
  2. Step 2: Convert to fraction form
    282,754.56/390,206.16 = 155,435.52/x
  3. Step 3: Cross multiply
    282,754.56x = 390,206.16 × 155,435.52
  4. Step 4: Simplify right side
    282,754.56x = 60,651,897,386.80
  5. Step 5: Solve for x
    x = 60,651,897,386.80/282,754.56
  6. Step 6: Final answer
    x = 214,503.69

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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.