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Finding the Fourth Proportional to 438,578.23, 657,866.92 and 165,075.50

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Solution

The fourth proportional to 438,578.23, 657,866.92 and 165,075.50 is: 247,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,578.23 : 657,866.92 = 165,075.50 : x
  2. Step 2: Convert to fraction form
    438,578.23/657,866.92 = 165,075.50/x
  3. Step 3: Cross multiply
    438,578.23x = 657,866.92 × 165,075.50
  4. Step 4: Simplify right side
    438,578.23x = 108,597,710,339.77
  5. Step 5: Solve for x
    x = 108,597,710,339.77/438,578.23
  6. Step 6: Final answer
    x = 247,613.09

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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.