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Finding the Fourth Proportional to 287,643.58, 431,527.65 and 110,150.59

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Solution

The fourth proportional to 287,643.58, 431,527.65 and 110,150.59 is: 165,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,643.58 : 431,527.65 = 110,150.59 : x
  2. Step 2: Convert to fraction form
    287,643.58/431,527.65 = 110,150.59/x
  3. Step 3: Cross multiply
    287,643.58x = 431,527.65 × 110,150.59
  4. Step 4: Simplify right side
    287,643.58x = 47,533,025,248.81
  5. Step 5: Solve for x
    x = 47,533,025,248.81/287,643.58
  6. Step 6: Final answer
    x = 165,249.74

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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.