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Finding the Fourth Proportional to 518,826.64, 778,476.40 and 266,284.45

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Solution

The fourth proportional to 518,826.64, 778,476.40 and 266,284.45 is: 399,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,826.64 : 778,476.40 = 266,284.45 : x
  2. Step 2: Convert to fraction form
    518,826.64/778,476.40 = 266,284.45/x
  3. Step 3: Cross multiply
    518,826.64x = 778,476.40 × 266,284.45
  4. Step 4: Simplify right side
    518,826.64x = 207,296,161,817.21
  5. Step 5: Solve for x
    x = 207,296,161,817.21/518,826.64
  6. Step 6: Final answer
    x = 399,548.03

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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.