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Finding the Fourth Proportional to 287,851.89, 397,237.86 and 160,530.42

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Solution

The fourth proportional to 287,851.89, 397,237.86 and 160,530.42 is: 221,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,851.89 : 397,237.86 = 160,530.42 : x
  2. Step 2: Convert to fraction form
    287,851.89/397,237.86 = 160,530.42/x
  3. Step 3: Cross multiply
    287,851.89x = 397,237.86 × 160,530.42
  4. Step 4: Simplify right side
    287,851.89x = 63,768,760,505.70
  5. Step 5: Solve for x
    x = 63,768,760,505.70/287,851.89
  6. Step 6: Final answer
    x = 221,533.24

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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.