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Finding the Fourth Proportional to 978,305,984.19, 1,468,378,377.45 and 512,301,888.68

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Solution

The fourth proportional to 978,305,984.19, 1,468,378,377.45 and 512,301,888.68 is: 768,934,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,305,984.19 : 1,468,378,377.45 = 512,301,888.68 : x
  2. Step 2: Convert to fraction form
    978,305,984.19/1,468,378,377.45 = 512,301,888.68/x
  3. Step 3: Cross multiply
    978,305,984.19x = 1,468,378,377.45 × 512,301,888.68
  4. Step 4: Simplify right side
    978,305,984.19x = 752,253,016,057,167,104
  5. Step 5: Solve for x
    x = 752,253,016,057,167,104/978,305,984.19
  6. Step 6: Final answer
    x = 768,934,288.67

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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.