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Finding the Fourth Proportional to 553,663.92, 764,056.02 and 299,015.16

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Solution

The fourth proportional to 553,663.92, 764,056.02 and 299,015.16 is: 412,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,663.92 : 764,056.02 = 299,015.16 : x
  2. Step 2: Convert to fraction form
    553,663.92/764,056.02 = 299,015.16/x
  3. Step 3: Cross multiply
    553,663.92x = 764,056.02 × 299,015.16
  4. Step 4: Simplify right side
    553,663.92x = 228,464,333,069.26
  5. Step 5: Solve for x
    x = 228,464,333,069.26/553,663.92
  6. Step 6: Final answer
    x = 412,640.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.