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Finding the Fourth Proportional to 287,794.08, 397,158.06 and 160,477.80

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Solution

The fourth proportional to 287,794.08, 397,158.06 and 160,477.80 is: 221,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,794.08 : 397,158.06 = 160,477.80 : x
  2. Step 2: Convert to fraction form
    287,794.08/397,158.06 = 160,477.80/x
  3. Step 3: Cross multiply
    287,794.08x = 397,158.06 × 160,477.80
  4. Step 4: Simplify right side
    287,794.08x = 63,735,051,721.07
  5. Step 5: Solve for x
    x = 63,735,051,721.07/287,794.08
  6. Step 6: Final answer
    x = 221,460.61

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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.