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Finding the Fourth Proportional to 313,389.90, 470,271.59 and 113,725.86

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Solution

The fourth proportional to 313,389.90, 470,271.59 and 113,725.86 is: 170,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,389.90 : 470,271.59 = 113,725.86 : x
  2. Step 2: Convert to fraction form
    313,389.90/470,271.59 = 113,725.86/x
  3. Step 3: Cross multiply
    313,389.90x = 470,271.59 × 113,725.86
  4. Step 4: Simplify right side
    313,389.90x = 53,482,041,006.32
  5. Step 5: Solve for x
    x = 53,482,041,006.32/313,389.90
  6. Step 6: Final answer
    x = 170,656.56

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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.