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Finding the Fourth Proportional to 313,389.81, 470,106.59 and 135,907.47

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Solution

The fourth proportional to 313,389.81, 470,106.59 and 135,907.47 is: 203,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,389.81 : 470,106.59 = 135,907.47 : x
  2. Step 2: Convert to fraction form
    313,389.81/470,106.59 = 135,907.47/x
  3. Step 3: Cross multiply
    313,389.81x = 470,106.59 × 135,907.47
  4. Step 4: Simplify right side
    313,389.81x = 63,890,996,597.69
  5. Step 5: Solve for x
    x = 63,890,996,597.69/313,389.81
  6. Step 6: Final answer
    x = 203,870.69

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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.