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Finding the Fourth Proportional to 346,430.80, 519,257.40 and 146,717.20

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Solution

The fourth proportional to 346,430.80, 519,257.40 and 146,717.20 is: 219,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,430.80 : 519,257.40 = 146,717.20 : x
  2. Step 2: Convert to fraction form
    346,430.80/519,257.40 = 146,717.20/x
  3. Step 3: Cross multiply
    346,430.80x = 519,257.40 × 146,717.20
  4. Step 4: Simplify right side
    346,430.80x = 76,183,991,807.28
  5. Step 5: Solve for x
    x = 76,183,991,807.28/346,430.80
  6. Step 6: Final answer
    x = 219,911.14

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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.