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Finding the Fourth Proportional to 287,435.20, 431,347.20 and 161,075.20

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Solution

The fourth proportional to 287,435.20, 431,347.20 and 161,075.20 is: 241,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,435.20 : 431,347.20 = 161,075.20 : x
  2. Step 2: Convert to fraction form
    287,435.20/431,347.20 = 161,075.20/x
  3. Step 3: Cross multiply
    287,435.20x = 431,347.20 × 161,075.20
  4. Step 4: Simplify right side
    287,435.20x = 69,479,336,509.44
  5. Step 5: Solve for x
    x = 69,479,336,509.44/287,435.20
  6. Step 6: Final answer
    x = 241,721.74

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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.