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Finding the Fourth Proportional to 209,966.70, 314,950.05 and 201,801.90

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Solution

The fourth proportional to 209,966.70, 314,950.05 and 201,801.90 is: 302,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,966.70 : 314,950.05 = 201,801.90 : x
  2. Step 2: Convert to fraction form
    209,966.70/314,950.05 = 201,801.90/x
  3. Step 3: Cross multiply
    209,966.70x = 314,950.05 × 201,801.90
  4. Step 4: Simplify right side
    209,966.70x = 63,557,518,495.10
  5. Step 5: Solve for x
    x = 63,557,518,495.10/209,966.70
  6. Step 6: Final answer
    x = 302,702.85

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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.