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Finding the Fourth Proportional to 516,745.69, 775,068.40 and 156,919.64

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Solution

The fourth proportional to 516,745.69, 775,068.40 and 156,919.64 is: 235,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,745.69 : 775,068.40 = 156,919.64 : x
  2. Step 2: Convert to fraction form
    516,745.69/775,068.40 = 156,919.64/x
  3. Step 3: Cross multiply
    516,745.69x = 775,068.40 × 156,919.64
  4. Step 4: Simplify right side
    516,745.69x = 121,623,454,303.38
  5. Step 5: Solve for x
    x = 121,623,454,303.38/516,745.69
  6. Step 6: Final answer
    x = 235,364.24

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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.