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Finding the Fourth Proportional to 360,018.72, 496,856.16 and 209,106

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Solution

The fourth proportional to 360,018.72, 496,856.16 and 209,106 is: 288,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,018.72 : 496,856.16 = 209,106 : x
  2. Step 2: Convert to fraction form
    360,018.72/496,856.16 = 209,106/x
  3. Step 3: Cross multiply
    360,018.72x = 496,856.16 × 209,106
  4. Step 4: Simplify right side
    360,018.72x = 103,895,604,192.96
  5. Step 5: Solve for x
    x = 103,895,604,192.96/360,018.72
  6. Step 6: Final answer
    x = 288,583.89

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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.