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Finding the Fourth Proportional to 287,369.51, 396,569.94 and 160,045.10

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Solution

The fourth proportional to 287,369.51, 396,569.94 and 160,045.10 is: 220,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,369.51 : 396,569.94 = 160,045.10 : x
  2. Step 2: Convert to fraction form
    287,369.51/396,569.94 = 160,045.10/x
  3. Step 3: Cross multiply
    287,369.51x = 396,569.94 × 160,045.10
  4. Step 4: Simplify right side
    287,369.51x = 63,469,075,704.29
  5. Step 5: Solve for x
    x = 63,469,075,704.29/287,369.51
  6. Step 6: Final answer
    x = 220,862.25

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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.