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Finding the Fourth Proportional to 286,813.44, 430,210.44 and 109,314

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Solution

The fourth proportional to 286,813.44, 430,210.44 and 109,314 is: 163,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,813.44 : 430,210.44 = 109,314 : x
  2. Step 2: Convert to fraction form
    286,813.44/430,210.44 = 109,314/x
  3. Step 3: Cross multiply
    286,813.44x = 430,210.44 × 109,314
  4. Step 4: Simplify right side
    286,813.44x = 47,028,024,038.16
  5. Step 5: Solve for x
    x = 47,028,024,038.16/286,813.44
  6. Step 6: Final answer
    x = 163,967.30

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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.