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Finding the Fourth Proportional to 313,749.80, 470,624.70 and 77,089.40

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Solution

The fourth proportional to 313,749.80, 470,624.70 and 77,089.40 is: 115,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,749.80 : 470,624.70 = 77,089.40 : x
  2. Step 2: Convert to fraction form
    313,749.80/470,624.70 = 77,089.40/x
  3. Step 3: Cross multiply
    313,749.80x = 470,624.70 × 77,089.40
  4. Step 4: Simplify right side
    313,749.80x = 36,280,175,748.18
  5. Step 5: Solve for x
    x = 36,280,175,748.18/313,749.80
  6. Step 6: Final answer
    x = 115,634.10

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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.