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Finding the Fourth Proportional to 403,802.66, 557,247.70 and 234,135.20

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Solution

The fourth proportional to 403,802.66, 557,247.70 and 234,135.20 is: 323,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,802.66 : 557,247.70 = 234,135.20 : x
  2. Step 2: Convert to fraction form
    403,802.66/557,247.70 = 234,135.20/x
  3. Step 3: Cross multiply
    403,802.66x = 557,247.70 × 234,135.20
  4. Step 4: Simplify right side
    403,802.66x = 130,471,301,689.04
  5. Step 5: Solve for x
    x = 130,471,301,689.04/403,802.66
  6. Step 6: Final answer
    x = 323,106.59

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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.