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Finding the Fourth Proportional to 209,875.70, 314,813.55 and 201,710.90

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Solution

The fourth proportional to 209,875.70, 314,813.55 and 201,710.90 is: 302,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,875.70 : 314,813.55 = 201,710.90 : x
  2. Step 2: Convert to fraction form
    209,875.70/314,813.55 = 201,710.90/x
  3. Step 3: Cross multiply
    209,875.70x = 314,813.55 × 201,710.90
  4. Step 4: Simplify right side
    209,875.70x = 63,501,324,502.70
  5. Step 5: Solve for x
    x = 63,501,324,502.70/209,875.70
  6. Step 6: Final answer
    x = 302,566.35

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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.