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Finding the Fourth Proportional to 210,808, 315,705.36 and 120,577.28

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Solution

The fourth proportional to 210,808, 315,705.36 and 120,577.28 is: 180,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,808 : 315,705.36 = 120,577.28 : x
  2. Step 2: Convert to fraction form
    210,808/315,705.36 = 120,577.28/x
  3. Step 3: Cross multiply
    210,808x = 315,705.36 × 120,577.28
  4. Step 4: Simplify right side
    210,808x = 38,066,893,590.22
  5. Step 5: Solve for x
    x = 38,066,893,590.22/210,808
  6. Step 6: Final answer
    x = 180,576.13

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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.