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Finding the Fourth Proportional to 313,855.48, 470,779.08 and 77,200.20

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Solution

The fourth proportional to 313,855.48, 470,779.08 and 77,200.20 is: 115,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,855.48 : 470,779.08 = 77,200.20 : x
  2. Step 2: Convert to fraction form
    313,855.48/470,779.08 = 77,200.20/x
  3. Step 3: Cross multiply
    313,855.48x = 470,779.08 × 77,200.20
  4. Step 4: Simplify right side
    313,855.48x = 36,344,239,131.82
  5. Step 5: Solve for x
    x = 36,344,239,131.82/313,855.48
  6. Step 6: Final answer
    x = 115,799.28

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1.5x scale

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.