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Finding the Fourth Proportional to 201,398.34, 301,440.42 and 148,076.22

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Solution

The fourth proportional to 201,398.34, 301,440.42 and 148,076.22 is: 221,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,398.34 : 301,440.42 = 148,076.22 : x
  2. Step 2: Convert to fraction form
    201,398.34/301,440.42 = 148,076.22/x
  3. Step 3: Cross multiply
    201,398.34x = 301,440.42 × 148,076.22
  4. Step 4: Simplify right side
    201,398.34x = 44,636,157,948.81
  5. Step 5: Solve for x
    x = 44,636,157,948.81/201,398.34
  6. Step 6: Final answer
    x = 221,631.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.