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Finding the Fourth Proportional to 287,906.96, 397,312.14 and 160,590.80

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Solution

The fourth proportional to 287,906.96, 397,312.14 and 160,590.80 is: 221,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,906.96 : 397,312.14 = 160,590.80 : x
  2. Step 2: Convert to fraction form
    287,906.96/397,312.14 = 160,590.80/x
  3. Step 3: Cross multiply
    287,906.96x = 397,312.14 × 160,590.80
  4. Step 4: Simplify right side
    287,906.96x = 63,804,674,412.31
  5. Step 5: Solve for x
    x = 63,804,674,412.31/287,906.96
  6. Step 6: Final answer
    x = 221,615.60

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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.