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Finding the Fourth Proportional to 438,051.30, 657,076.95 and 105,627.30

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Solution

The fourth proportional to 438,051.30, 657,076.95 and 105,627.30 is: 158,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,051.30 : 657,076.95 = 105,627.30 : x
  2. Step 2: Convert to fraction form
    438,051.30/657,076.95 = 105,627.30/x
  3. Step 3: Cross multiply
    438,051.30x = 657,076.95 × 105,627.30
  4. Step 4: Simplify right side
    438,051.30x = 69,405,264,120.74
  5. Step 5: Solve for x
    x = 69,405,264,120.74/438,051.30
  6. Step 6: Final answer
    x = 158,440.95

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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.