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Finding the Fourth Proportional to 438,753.90, 657,802.80 and 185,827.35

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Solution

The fourth proportional to 438,753.90, 657,802.80 and 185,827.35 is: 278,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,753.90 : 657,802.80 = 185,827.35 : x
  2. Step 2: Convert to fraction form
    438,753.90/657,802.80 = 185,827.35/x
  3. Step 3: Cross multiply
    438,753.90x = 657,802.80 × 185,827.35
  4. Step 4: Simplify right side
    438,753.90x = 122,237,751,146.58
  5. Step 5: Solve for x
    x = 122,237,751,146.58/438,753.90
  6. Step 6: Final answer
    x = 278,602.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.