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Finding the Fourth Proportional to 287,751.54, 397,097.37 and 160,424.58

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Solution

The fourth proportional to 287,751.54, 397,097.37 and 160,424.58 is: 221,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,751.54 : 397,097.37 = 160,424.58 : x
  2. Step 2: Convert to fraction form
    287,751.54/397,097.37 = 160,424.58/x
  3. Step 3: Cross multiply
    287,751.54x = 397,097.37 × 160,424.58
  4. Step 4: Simplify right side
    287,751.54x = 63,704,178,801.35
  5. Step 5: Solve for x
    x = 63,704,178,801.35/287,751.54
  6. Step 6: Final answer
    x = 221,386.06

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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.