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Finding the Fourth Proportional to 400,398.16, 553,149.62 and 262,903.29

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Solution

The fourth proportional to 400,398.16, 553,149.62 and 262,903.29 is: 363,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,398.16 : 553,149.62 = 262,903.29 : x
  2. Step 2: Convert to fraction form
    400,398.16/553,149.62 = 262,903.29/x
  3. Step 3: Cross multiply
    400,398.16x = 553,149.62 × 262,903.29
  4. Step 4: Simplify right side
    400,398.16x = 145,424,854,631.62
  5. Step 5: Solve for x
    x = 145,424,854,631.62/400,398.16
  6. Step 6: Final answer
    x = 363,200.61

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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.