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Finding the Fourth Proportional to 978,424.74, 1,470,436.50 and 480,138.66

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Solution

The fourth proportional to 978,424.74, 1,470,436.50 and 480,138.66 is: 721,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,424.74 : 1,470,436.50 = 480,138.66 : x
  2. Step 2: Convert to fraction form
    978,424.74/1,470,436.50 = 480,138.66/x
  3. Step 3: Cross multiply
    978,424.74x = 1,470,436.50 × 480,138.66
  4. Step 4: Simplify right side
    978,424.74x = 706,013,410,725.09
  5. Step 5: Solve for x
    x = 706,013,410,725.09/978,424.74
  6. Step 6: Final answer
    x = 721,581.72

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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.