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Finding the Fourth Proportional to 287,671.21, 431,510.46 and 110,188.87

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Solution

The fourth proportional to 287,671.21, 431,510.46 and 110,188.87 is: 165,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,671.21 : 431,510.46 = 110,188.87 : x
  2. Step 2: Convert to fraction form
    287,671.21/431,510.46 = 110,188.87/x
  3. Step 3: Cross multiply
    287,671.21x = 431,510.46 × 110,188.87
  4. Step 4: Simplify right side
    287,671.21x = 47,547,649,980.58
  5. Step 5: Solve for x
    x = 47,547,649,980.58/287,671.21
  6. Step 6: Final answer
    x = 165,284.70

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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.