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Finding the Fourth Proportional to 565,564.41, 780,479.39 and 310,919.93

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Solution

The fourth proportional to 565,564.41, 780,479.39 and 310,919.93 is: 429,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,564.41 : 780,479.39 = 310,919.93 : x
  2. Step 2: Convert to fraction form
    565,564.41/780,479.39 = 310,919.93/x
  3. Step 3: Cross multiply
    565,564.41x = 780,479.39 × 310,919.93
  4. Step 4: Simplify right side
    565,564.41x = 242,666,595,750.64
  5. Step 5: Solve for x
    x = 242,666,595,750.64/565,564.41
  6. Step 6: Final answer
    x = 429,069.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.