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Finding the Fourth Proportional to 282,626.48, 390,033.24 and 155,306

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Solution

The fourth proportional to 282,626.48, 390,033.24 and 155,306 is: 214,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,626.48 : 390,033.24 = 155,306 : x
  2. Step 2: Convert to fraction form
    282,626.48/390,033.24 = 155,306/x
  3. Step 3: Cross multiply
    282,626.48x = 390,033.24 × 155,306
  4. Step 4: Simplify right side
    282,626.48x = 60,574,502,371.44
  5. Step 5: Solve for x
    x = 60,574,502,371.44/282,626.48
  6. Step 6: Final answer
    x = 214,327.06

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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.