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Finding the Fourth Proportional to 287,288.25, 430,932.38 and 90,296.25

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Solution

The fourth proportional to 287,288.25, 430,932.38 and 90,296.25 is: 135,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,288.25 : 430,932.38 = 90,296.25 : x
  2. Step 2: Convert to fraction form
    287,288.25/430,932.38 = 90,296.25/x
  3. Step 3: Cross multiply
    287,288.25x = 430,932.38 × 90,296.25
  4. Step 4: Simplify right side
    287,288.25x = 38,911,577,466.09
  5. Step 5: Solve for x
    x = 38,911,577,466.09/287,288.25
  6. Step 6: Final answer
    x = 135,444.38

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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.