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Finding the Fourth Proportional to 229,209.10, 343,813.65 and 209,509.90

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Solution

The fourth proportional to 229,209.10, 343,813.65 and 209,509.90 is: 314,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,209.10 : 343,813.65 = 209,509.90 : x
  2. Step 2: Convert to fraction form
    229,209.10/343,813.65 = 209,509.90/x
  3. Step 3: Cross multiply
    229,209.10x = 343,813.65 × 209,509.90
  4. Step 4: Simplify right side
    229,209.10x = 72,032,363,430.14
  5. Step 5: Solve for x
    x = 72,032,363,430.14/229,209.10
  6. Step 6: Final answer
    x = 314,264.85

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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.