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Finding the Fourth Proportional to 442,904.70, 664,357.05 and 307,602.30

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Solution

The fourth proportional to 442,904.70, 664,357.05 and 307,602.30 is: 461,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,904.70 : 664,357.05 = 307,602.30 : x
  2. Step 2: Convert to fraction form
    442,904.70/664,357.05 = 307,602.30/x
  3. Step 3: Cross multiply
    442,904.70x = 664,357.05 × 307,602.30
  4. Step 4: Simplify right side
    442,904.70x = 204,357,756,601.22
  5. Step 5: Solve for x
    x = 204,357,756,601.22/442,904.70
  6. Step 6: Final answer
    x = 461,403.45

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Similar ratio
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1.5x scale

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.