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Finding the Fourth Proportional to 510,399.76, 704,374.76 and 295,549.20

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Solution

The fourth proportional to 510,399.76, 704,374.76 and 295,549.20 is: 407,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,399.76 : 704,374.76 = 295,549.20 : x
  2. Step 2: Convert to fraction form
    510,399.76/704,374.76 = 295,549.20/x
  3. Step 3: Cross multiply
    510,399.76x = 704,374.76 × 295,549.20
  4. Step 4: Simplify right side
    510,399.76x = 208,177,396,818.19
  5. Step 5: Solve for x
    x = 208,177,396,818.19/510,399.76
  6. Step 6: Final answer
    x = 407,871.27

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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.