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Finding the Fourth Proportional to 516,478.71, 774,762.66 and 142,501.71

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Solution

The fourth proportional to 516,478.71, 774,762.66 and 142,501.71 is: 213,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,478.71 : 774,762.66 = 142,501.71 : x
  2. Step 2: Convert to fraction form
    516,478.71/774,762.66 = 142,501.71/x
  3. Step 3: Cross multiply
    516,478.71x = 774,762.66 × 142,501.71
  4. Step 4: Simplify right side
    516,478.71x = 110,405,003,894.15
  5. Step 5: Solve for x
    x = 110,405,003,894.15/516,478.71
  6. Step 6: Final answer
    x = 213,764.87

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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.