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Finding the Fourth Proportional to 259,709.60, 358,401.84 and 152,343.20

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Solution

The fourth proportional to 259,709.60, 358,401.84 and 152,343.20 is: 210,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,709.60 : 358,401.84 = 152,343.20 : x
  2. Step 2: Convert to fraction form
    259,709.60/358,401.84 = 152,343.20/x
  3. Step 3: Cross multiply
    259,709.60x = 358,401.84 × 152,343.20
  4. Step 4: Simplify right side
    259,709.60x = 54,600,083,191.49
  5. Step 5: Solve for x
    x = 54,600,083,191.49/259,709.60
  6. Step 6: Final answer
    x = 210,235.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.