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Finding the Fourth Proportional to 345,938.40, 519,004.80 and 146,354.40

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Solution

The fourth proportional to 345,938.40, 519,004.80 and 146,354.40 is: 219,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,938.40 : 519,004.80 = 146,354.40 : x
  2. Step 2: Convert to fraction form
    345,938.40/519,004.80 = 146,354.40/x
  3. Step 3: Cross multiply
    345,938.40x = 519,004.80 × 146,354.40
  4. Step 4: Simplify right side
    345,938.40x = 75,958,636,101.12
  5. Step 5: Solve for x
    x = 75,958,636,101.12/345,938.40
  6. Step 6: Final answer
    x = 219,572.72

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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.