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Finding the Fourth Proportional to 432,552.56, 648,420.58 and 208,040

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Solution

The fourth proportional to 432,552.56, 648,420.58 and 208,040 is: 311,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,552.56 : 648,420.58 = 208,040 : x
  2. Step 2: Convert to fraction form
    432,552.56/648,420.58 = 208,040/x
  3. Step 3: Cross multiply
    432,552.56x = 648,420.58 × 208,040
  4. Step 4: Simplify right side
    432,552.56x = 134,897,417,463.20
  5. Step 5: Solve for x
    x = 134,897,417,463.20/432,552.56
  6. Step 6: Final answer
    x = 311,863.64

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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.