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Finding the Fourth Proportional to 287,904.44, 397,308.69 and 160,588.28

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Solution

The fourth proportional to 287,904.44, 397,308.69 and 160,588.28 is: 221,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,904.44 : 397,308.69 = 160,588.28 : x
  2. Step 2: Convert to fraction form
    287,904.44/397,308.69 = 160,588.28/x
  3. Step 3: Cross multiply
    287,904.44x = 397,308.69 × 160,588.28
  4. Step 4: Simplify right side
    287,904.44x = 63,803,119,156.15
  5. Step 5: Solve for x
    x = 63,803,119,156.15/287,904.44
  6. Step 6: Final answer
    x = 221,612.14

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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.