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Finding the Fourth Proportional to 313,891.70, 470,866.35 and 103,530.10

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Solution

The fourth proportional to 313,891.70, 470,866.35 and 103,530.10 is: 155,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,891.70 : 470,866.35 = 103,530.10 : x
  2. Step 2: Convert to fraction form
    313,891.70/470,866.35 = 103,530.10/x
  3. Step 3: Cross multiply
    313,891.70x = 470,866.35 × 103,530.10
  4. Step 4: Simplify right side
    313,891.70x = 48,748,840,302.14
  5. Step 5: Solve for x
    x = 48,748,840,302.14/313,891.70
  6. Step 6: Final answer
    x = 155,304.65

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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.