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Finding the Fourth Proportional to 287,878.58, 431,823.28 and 98,382.32

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Solution

The fourth proportional to 287,878.58, 431,823.28 and 98,382.32 is: 147,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,878.58 : 431,823.28 = 98,382.32 : x
  2. Step 2: Convert to fraction form
    287,878.58/431,823.28 = 98,382.32/x
  3. Step 3: Cross multiply
    287,878.58x = 431,823.28 × 98,382.32
  4. Step 4: Simplify right side
    287,878.58x = 42,483,776,116.41
  5. Step 5: Solve for x
    x = 42,483,776,116.41/287,878.58
  6. Step 6: Final answer
    x = 147,575.33

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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.