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Finding the Fourth Proportional to 282,858, 390,353.16 and 155,542.80

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Solution

The fourth proportional to 282,858, 390,353.16 and 155,542.80 is: 214,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,858 : 390,353.16 = 155,542.80 : x
  2. Step 2: Convert to fraction form
    282,858/390,353.16 = 155,542.80/x
  3. Step 3: Cross multiply
    282,858x = 390,353.16 × 155,542.80
  4. Step 4: Simplify right side
    282,858x = 60,716,623,495.25
  5. Step 5: Solve for x
    x = 60,716,623,495.25/282,858
  6. Step 6: Final answer
    x = 214,654.08

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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.