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Finding the Fourth Proportional to 313,897.56, 470,729.70 and 103,479

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Solution

The fourth proportional to 313,897.56, 470,729.70 and 103,479 is: 155,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,897.56 : 470,729.70 = 103,479 : x
  2. Step 2: Convert to fraction form
    313,897.56/470,729.70 = 103,479/x
  3. Step 3: Cross multiply
    313,897.56x = 470,729.70 × 103,479
  4. Step 4: Simplify right side
    313,897.56x = 48,710,638,626.30
  5. Step 5: Solve for x
    x = 48,710,638,626.30/313,897.56
  6. Step 6: Final answer
    x = 155,180.05

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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.