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Finding the Fourth Proportional to 287,698.53, 397,009.44 and 160,349.52

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Solution

The fourth proportional to 287,698.53, 397,009.44 and 160,349.52 is: 221,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,698.53 : 397,009.44 = 160,349.52 : x
  2. Step 2: Convert to fraction form
    287,698.53/397,009.44 = 160,349.52/x
  3. Step 3: Cross multiply
    287,698.53x = 397,009.44 × 160,349.52
  4. Step 4: Simplify right side
    287,698.53x = 63,660,273,139.47
  5. Step 5: Solve for x
    x = 63,660,273,139.47/287,698.53
  6. Step 6: Final answer
    x = 221,274.24

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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.