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Finding the Fourth Proportional to 282,796.50, 390,261.81 and 155,473

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Solution

The fourth proportional to 282,796.50, 390,261.81 and 155,473 is: 214,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,796.50 : 390,261.81 = 155,473 : x
  2. Step 2: Convert to fraction form
    282,796.50/390,261.81 = 155,473/x
  3. Step 3: Cross multiply
    282,796.50x = 390,261.81 × 155,473
  4. Step 4: Simplify right side
    282,796.50x = 60,675,174,386.13
  5. Step 5: Solve for x
    x = 60,675,174,386.13/282,796.50
  6. Step 6: Final answer
    x = 214,554.19

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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.