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Finding the Fourth Proportional to 426,609.20, 639,518.16 and 160,546.16

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Solution

The fourth proportional to 426,609.20, 639,518.16 and 160,546.16 is: 240,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,609.20 : 639,518.16 = 160,546.16 : x
  2. Step 2: Convert to fraction form
    426,609.20/639,518.16 = 160,546.16/x
  3. Step 3: Cross multiply
    426,609.20x = 639,518.16 × 160,546.16
  4. Step 4: Simplify right side
    426,609.20x = 102,672,184,838.27
  5. Step 5: Solve for x
    x = 102,672,184,838.27/426,609.20
  6. Step 6: Final answer
    x = 240,670.35

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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.