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Finding the Fourth Proportional to 209,913.70, 314,870.55 and 201,165.70

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Solution

The fourth proportional to 209,913.70, 314,870.55 and 201,165.70 is: 301,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,913.70 : 314,870.55 = 201,165.70 : x
  2. Step 2: Convert to fraction form
    209,913.70/314,870.55 = 201,165.70/x
  3. Step 3: Cross multiply
    209,913.70x = 314,870.55 × 201,165.70
  4. Step 4: Simplify right side
    209,913.70x = 63,341,154,600.14
  5. Step 5: Solve for x
    x = 63,341,154,600.14/209,913.70
  6. Step 6: Final answer
    x = 301,748.55

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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.