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Finding the Fourth Proportional to 457,663.40, 686,495.10 and 261,055.40

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Solution

The fourth proportional to 457,663.40, 686,495.10 and 261,055.40 is: 391,583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,663.40 : 686,495.10 = 261,055.40 : x
  2. Step 2: Convert to fraction form
    457,663.40/686,495.10 = 261,055.40/x
  3. Step 3: Cross multiply
    457,663.40x = 686,495.10 × 261,055.40
  4. Step 4: Simplify right side
    457,663.40x = 179,213,252,928.54
  5. Step 5: Solve for x
    x = 179,213,252,928.54/457,663.40
  6. Step 6: Final answer
    x = 391,583.10

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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.