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Finding the Fourth Proportional to 516,646.68, 774,948.78 and 179,763.72

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Solution

The fourth proportional to 516,646.68, 774,948.78 and 179,763.72 is: 269,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,646.68 : 774,948.78 = 179,763.72 : x
  2. Step 2: Convert to fraction form
    516,646.68/774,948.78 = 179,763.72/x
  3. Step 3: Cross multiply
    516,646.68x = 774,948.78 × 179,763.72
  4. Step 4: Simplify right side
    516,646.68x = 139,307,675,502.26
  5. Step 5: Solve for x
    x = 139,307,675,502.26/516,646.68
  6. Step 6: Final answer
    x = 269,638.19

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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.