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Finding the Fourth Proportional to 565,465.36, 780,342.78 and 310,811.08

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Solution

The fourth proportional to 565,465.36, 780,342.78 and 310,811.08 is: 428,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,465.36 : 780,342.78 = 310,811.08 : x
  2. Step 2: Convert to fraction form
    565,465.36/780,342.78 = 310,811.08/x
  3. Step 3: Cross multiply
    565,465.36x = 780,342.78 × 310,811.08
  4. Step 4: Simplify right side
    565,465.36x = 242,539,182,222.00
  5. Step 5: Solve for x
    x = 242,539,182,222.00/565,465.36
  6. Step 6: Final answer
    x = 428,919.61

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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.