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Finding the Fourth Proportional to 530,471.02, 730,655.41 and 407,728.69

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Solution

The fourth proportional to 530,471.02, 730,655.41 and 407,728.69 is: 561,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,471.02 : 730,655.41 = 407,728.69 : x
  2. Step 2: Convert to fraction form
    530,471.02/730,655.41 = 407,728.69/x
  3. Step 3: Cross multiply
    530,471.02x = 730,655.41 × 407,728.69
  4. Step 4: Simplify right side
    530,471.02x = 297,909,169,507.44
  5. Step 5: Solve for x
    x = 297,909,169,507.44/530,471.02
  6. Step 6: Final answer
    x = 561,593.67

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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.