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Finding the Fourth Proportional to 282,780, 390,238.80 and 155,452.80

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Solution

The fourth proportional to 282,780, 390,238.80 and 155,452.80 is: 214,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,780 : 390,238.80 = 155,452.80 : x
  2. Step 2: Convert to fraction form
    282,780/390,238.80 = 155,452.80/x
  3. Step 3: Cross multiply
    282,780x = 390,238.80 × 155,452.80
  4. Step 4: Simplify right side
    282,780x = 60,663,714,128.64
  5. Step 5: Solve for x
    x = 60,663,714,128.64/282,780
  6. Step 6: Final answer
    x = 214,526.18

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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.