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Finding the Fourth Proportional to 518,826.08, 778,475.56 and 266,283.89

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Solution

The fourth proportional to 518,826.08, 778,475.56 and 266,283.89 is: 399,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,826.08 : 778,475.56 = 266,283.89 : x
  2. Step 2: Convert to fraction form
    518,826.08/778,475.56 = 266,283.89/x
  3. Step 3: Cross multiply
    518,826.08x = 778,475.56 × 266,283.89
  4. Step 4: Simplify right side
    518,826.08x = 207,295,499,247.21
  5. Step 5: Solve for x
    x = 207,295,499,247.21/518,826.08
  6. Step 6: Final answer
    x = 399,547.19

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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.