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Finding the Fourth Proportional to 652,803.17, 978,498.50 and 273,929.72

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Solution

The fourth proportional to 652,803.17, 978,498.50 and 273,929.72 is: 410,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,803.17 : 978,498.50 = 273,929.72 : x
  2. Step 2: Convert to fraction form
    652,803.17/978,498.50 = 273,929.72/x
  3. Step 3: Cross multiply
    652,803.17x = 978,498.50 × 273,929.72
  4. Step 4: Simplify right side
    652,803.17x = 268,039,813,863.28
  5. Step 5: Solve for x
    x = 268,039,813,863.28/652,803.17
  6. Step 6: Final answer
    x = 410,598.21

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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.