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Finding the Fourth Proportional to 517,798.80, 776,815.86 and 158,001.84

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Solution

The fourth proportional to 517,798.80, 776,815.86 and 158,001.84 is: 237,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,798.80 : 776,815.86 = 158,001.84 : x
  2. Step 2: Convert to fraction form
    517,798.80/776,815.86 = 158,001.84/x
  3. Step 3: Cross multiply
    517,798.80x = 776,815.86 × 158,001.84
  4. Step 4: Simplify right side
    517,798.80x = 122,738,333,628.90
  5. Step 5: Solve for x
    x = 122,738,333,628.90/517,798.80
  6. Step 6: Final answer
    x = 237,038.66

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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.