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Finding the Fourth Proportional to 282,814.72, 390,274.33 and 155,489.34

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Solution

The fourth proportional to 282,814.72, 390,274.33 and 155,489.34 is: 214,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,814.72 : 390,274.33 = 155,489.34 : x
  2. Step 2: Convert to fraction form
    282,814.72/390,274.33 = 155,489.34/x
  3. Step 3: Cross multiply
    282,814.72x = 390,274.33 × 155,489.34
  4. Step 4: Simplify right side
    282,814.72x = 60,683,497,990.64
  5. Step 5: Solve for x
    x = 60,683,497,990.64/282,814.72
  6. Step 6: Final answer
    x = 214,569.80

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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.