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Finding the Fourth Proportional to 431,646.40, 647,528.68 and 147,260.60

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Solution

The fourth proportional to 431,646.40, 647,528.68 and 147,260.60 is: 220,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,646.40 : 647,528.68 = 147,260.60 : x
  2. Step 2: Convert to fraction form
    431,646.40/647,528.68 = 147,260.60/x
  3. Step 3: Cross multiply
    431,646.40x = 647,528.68 × 147,260.60
  4. Step 4: Simplify right side
    431,646.40x = 95,355,461,934.01
  5. Step 5: Solve for x
    x = 95,355,461,934.01/431,646.40
  6. Step 6: Final answer
    x = 220,911.06

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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.