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Finding the Fourth Proportional to 429,816.60, 644,730.30 and 130,300.20

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Solution

The fourth proportional to 429,816.60, 644,730.30 and 130,300.20 is: 195,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,816.60 : 644,730.30 = 130,300.20 : x
  2. Step 2: Convert to fraction form
    429,816.60/644,730.30 = 130,300.20/x
  3. Step 3: Cross multiply
    429,816.60x = 644,730.30 × 130,300.20
  4. Step 4: Simplify right side
    429,816.60x = 84,008,487,036.06
  5. Step 5: Solve for x
    x = 84,008,487,036.06/429,816.60
  6. Step 6: Final answer
    x = 195,451.94

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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.