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Finding the Fourth Proportional to 432,040.70, 648,061.05 and 407,546.30

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Solution

The fourth proportional to 432,040.70, 648,061.05 and 407,546.30 is: 611,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,040.70 : 648,061.05 = 407,546.30 : x
  2. Step 2: Convert to fraction form
    432,040.70/648,061.05 = 407,546.30/x
  3. Step 3: Cross multiply
    432,040.70x = 648,061.05 × 407,546.30
  4. Step 4: Simplify right side
    432,040.70x = 264,114,883,101.62
  5. Step 5: Solve for x
    x = 264,114,883,101.62/432,040.70
  6. Step 6: Final answer
    x = 611,319.45

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1.5x scale

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.