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Finding the Fourth Proportional to 287,706.54, 397,020.48 and 160,357.52

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Solution

The fourth proportional to 287,706.54, 397,020.48 and 160,357.52 is: 221,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,706.54 : 397,020.48 = 160,357.52 : x
  2. Step 2: Convert to fraction form
    287,706.54/397,020.48 = 160,357.52/x
  3. Step 3: Cross multiply
    287,706.54x = 397,020.48 × 160,357.52
  4. Step 4: Simplify right side
    287,706.54x = 63,665,219,562.01
  5. Step 5: Solve for x
    x = 63,665,219,562.01/287,706.54
  6. Step 6: Final answer
    x = 221,285.27

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1.5x scale

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.