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Finding the Fourth Proportional to 282,792.30, 390,243.42 and 155,466.96

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Solution

The fourth proportional to 282,792.30, 390,243.42 and 155,466.96 is: 214,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,792.30 : 390,243.42 = 155,466.96 : x
  2. Step 2: Convert to fraction form
    282,792.30/390,243.42 = 155,466.96/x
  3. Step 3: Cross multiply
    282,792.30x = 390,243.42 × 155,466.96
  4. Step 4: Simplify right side
    282,792.30x = 60,669,958,167.40
  5. Step 5: Solve for x
    x = 60,669,958,167.40/282,792.30
  6. Step 6: Final answer
    x = 214,538.93

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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.