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Finding the Fourth Proportional to 287,115.12, 430,580.84 and 94,953.86

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Solution

The fourth proportional to 287,115.12, 430,580.84 and 94,953.86 is: 142,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,115.12 : 430,580.84 = 94,953.86 : x
  2. Step 2: Convert to fraction form
    287,115.12/430,580.84 = 94,953.86/x
  3. Step 3: Cross multiply
    287,115.12x = 430,580.84 × 94,953.86
  4. Step 4: Simplify right side
    287,115.12x = 40,885,312,800.04
  5. Step 5: Solve for x
    x = 40,885,312,800.04/287,115.12
  6. Step 6: Final answer
    x = 142,400.42

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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.