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Finding the Fourth Proportional to 313,886.20, 470,051.70 and 201,393.40

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Solution

The fourth proportional to 313,886.20, 470,051.70 and 201,393.40 is: 301,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886.20 : 470,051.70 = 201,393.40 : x
  2. Step 2: Convert to fraction form
    313,886.20/470,051.70 = 201,393.40/x
  3. Step 3: Cross multiply
    313,886.20x = 470,051.70 × 201,393.40
  4. Step 4: Simplify right side
    313,886.20x = 94,665,310,038.78
  5. Step 5: Solve for x
    x = 94,665,310,038.78/313,886.20
  6. Step 6: Final answer
    x = 301,591.18

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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.