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Finding the Fourth Proportional to 638,308.16, 957,459.36 and 164,953.28

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Solution

The fourth proportional to 638,308.16, 957,459.36 and 164,953.28 is: 247,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,308.16 : 957,459.36 = 164,953.28 : x
  2. Step 2: Convert to fraction form
    638,308.16/957,459.36 = 164,953.28/x
  3. Step 3: Cross multiply
    638,308.16x = 957,459.36 × 164,953.28
  4. Step 4: Simplify right side
    638,308.16x = 157,936,061,898.70
  5. Step 5: Solve for x
    x = 157,936,061,898.70/638,308.16
  6. Step 6: Final answer
    x = 247,429.18

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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.