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Finding the Fourth Proportional to 517,590.18, 776,543.72 and 265,049.48

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Solution

The fourth proportional to 517,590.18, 776,543.72 and 265,049.48 is: 397,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,590.18 : 776,543.72 = 265,049.48 : x
  2. Step 2: Convert to fraction form
    517,590.18/776,543.72 = 265,049.48/x
  3. Step 3: Cross multiply
    517,590.18x = 776,543.72 × 265,049.48
  4. Step 4: Simplify right side
    517,590.18x = 205,822,505,963.17
  5. Step 5: Solve for x
    x = 205,822,505,963.17/517,590.18
  6. Step 6: Final answer
    x = 397,655.35

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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.