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Finding the Fourth Proportional to 282,867.35, 390,356.94 and 155,542.94

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Solution

The fourth proportional to 282,867.35, 390,356.94 and 155,542.94 is: 214,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,867.35 : 390,356.94 = 155,542.94 : x
  2. Step 2: Convert to fraction form
    282,867.35/390,356.94 = 155,542.94/x
  3. Step 3: Cross multiply
    282,867.35x = 390,356.94 × 155,542.94
  4. Step 4: Simplify right side
    282,867.35x = 60,717,267,072.90
  5. Step 5: Solve for x
    x = 60,717,267,072.90/282,867.35
  6. Step 6: Final answer
    x = 214,649.26

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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.