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Finding the Fourth Proportional to 802,116, 1,202,373.36 and 401,533.92

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Solution

The fourth proportional to 802,116, 1,202,373.36 and 401,533.92 is: 601,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,116 : 1,202,373.36 = 401,533.92 : x
  2. Step 2: Convert to fraction form
    802,116/1,202,373.36 = 401,533.92/x
  3. Step 3: Cross multiply
    802,116x = 1,202,373.36 × 401,533.92
  4. Step 4: Simplify right side
    802,116x = 482,793,688,544.37
  5. Step 5: Solve for x
    x = 482,793,688,544.37/802,116
  6. Step 6: Final answer
    x = 601,900.08

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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.