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Finding the Fourth Proportional to 739,735, 1,020,841.68 and 400,210.54

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Solution

The fourth proportional to 739,735, 1,020,841.68 and 400,210.54 is: 552,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,735 : 1,020,841.68 = 400,210.54 : x
  2. Step 2: Convert to fraction form
    739,735/1,020,841.68 = 400,210.54/x
  3. Step 3: Cross multiply
    739,735x = 1,020,841.68 × 400,210.54
  4. Step 4: Simplify right side
    739,735x = 408,551,600,007.31
  5. Step 5: Solve for x
    x = 408,551,600,007.31/739,735
  6. Step 6: Final answer
    x = 552,294.54

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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.