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Finding the Fourth Proportional to 287,368.92, 396,581.40 and 160,044.51

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Solution

The fourth proportional to 287,368.92, 396,581.40 and 160,044.51 is: 220,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,368.92 : 396,581.40 = 160,044.51 : x
  2. Step 2: Convert to fraction form
    287,368.92/396,581.40 = 160,044.51/x
  3. Step 3: Cross multiply
    287,368.92x = 396,581.40 × 160,044.51
  4. Step 4: Simplify right side
    287,368.92x = 63,470,675,838.11
  5. Step 5: Solve for x
    x = 63,470,675,838.11/287,368.92
  6. Step 6: Final answer
    x = 220,868.27

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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.