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Finding the Fourth Proportional to 287,288.63, 430,932.95 and 90,296.63

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Solution

The fourth proportional to 287,288.63, 430,932.95 and 90,296.63 is: 135,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,288.63 : 430,932.95 = 90,296.63 : x
  2. Step 2: Convert to fraction form
    287,288.63/430,932.95 = 90,296.63/x
  3. Step 3: Cross multiply
    287,288.63x = 430,932.95 × 90,296.63
  4. Step 4: Simplify right side
    287,288.63x = 38,911,790,534.81
  5. Step 5: Solve for x
    x = 38,911,790,534.81/287,288.63
  6. Step 6: Final answer
    x = 135,444.94

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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.