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Finding the Fourth Proportional to 400,802.04, 552,840.63 and 257,743.08

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Solution

The fourth proportional to 400,802.04, 552,840.63 and 257,743.08 is: 355,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,802.04 : 552,840.63 = 257,743.08 : x
  2. Step 2: Convert to fraction form
    400,802.04/552,840.63 = 257,743.08/x
  3. Step 3: Cross multiply
    400,802.04x = 552,840.63 × 257,743.08
  4. Step 4: Simplify right side
    400,802.04x = 142,490,846,725.34
  5. Step 5: Solve for x
    x = 142,490,846,725.34/400,802.04
  6. Step 6: Final answer
    x = 355,514.28

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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.