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Finding the Fourth Proportional to 395,420.70, 592,972.65 and 146,047.26

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Solution

The fourth proportional to 395,420.70, 592,972.65 and 146,047.26 is: 219,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,420.70 : 592,972.65 = 146,047.26 : x
  2. Step 2: Convert to fraction form
    395,420.70/592,972.65 = 146,047.26/x
  3. Step 3: Cross multiply
    395,420.70x = 592,972.65 × 146,047.26
  4. Step 4: Simplify right side
    395,420.70x = 86,602,030,787.44
  5. Step 5: Solve for x
    x = 86,602,030,787.44/395,420.70
  6. Step 6: Final answer
    x = 219,012.39

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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.