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Finding the Fourth Proportional to 286,800.94, 430,094.52 and 84,342.86

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Solution

The fourth proportional to 286,800.94, 430,094.52 and 84,342.86 is: 126,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,800.94 : 430,094.52 = 84,342.86 : x
  2. Step 2: Convert to fraction form
    286,800.94/430,094.52 = 84,342.86/x
  3. Step 3: Cross multiply
    286,800.94x = 430,094.52 × 84,342.86
  4. Step 4: Simplify right side
    286,800.94x = 36,275,401,887.13
  5. Step 5: Solve for x
    x = 36,275,401,887.13/286,800.94
  6. Step 6: Final answer
    x = 126,482.86

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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.