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Finding the Fourth Proportional to 287,735.80, 431,430.90 and 147,767.80

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Solution

The fourth proportional to 287,735.80, 431,430.90 and 147,767.80 is: 221,562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,735.80 : 431,430.90 = 147,767.80 : x
  2. Step 2: Convert to fraction form
    287,735.80/431,430.90 = 147,767.80/x
  3. Step 3: Cross multiply
    287,735.80x = 431,430.90 × 147,767.80
  4. Step 4: Simplify right side
    287,735.80x = 63,751,594,945.02
  5. Step 5: Solve for x
    x = 63,751,594,945.02/287,735.80
  6. Step 6: Final answer
    x = 221,562.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.