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Finding the Fourth Proportional to 400,726.10, 553,002.19 and 219,449.32

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Solution

The fourth proportional to 400,726.10, 553,002.19 and 219,449.32 is: 302,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,726.10 : 553,002.19 = 219,449.32 : x
  2. Step 2: Convert to fraction form
    400,726.10/553,002.19 = 219,449.32/x
  3. Step 3: Cross multiply
    400,726.10x = 553,002.19 × 219,449.32
  4. Step 4: Simplify right side
    400,726.10x = 121,355,952,622.88
  5. Step 5: Solve for x
    x = 121,355,952,622.88/400,726.10
  6. Step 6: Final answer
    x = 302,840.15

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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.