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Finding the Fourth Proportional to 287,878.32, 397,272.78 and 160,562.16

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Solution

The fourth proportional to 287,878.32, 397,272.78 and 160,562.16 is: 221,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,878.32 : 397,272.78 = 160,562.16 : x
  2. Step 2: Convert to fraction form
    287,878.32/397,272.78 = 160,562.16/x
  3. Step 3: Cross multiply
    287,878.32x = 397,272.78 × 160,562.16
  4. Step 4: Simplify right side
    287,878.32x = 63,786,975,666.00
  5. Step 5: Solve for x
    x = 63,786,975,666.00/287,878.32
  6. Step 6: Final answer
    x = 221,576.17

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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.