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Finding the Fourth Proportional to 565,584.16, 780,506.64 and 310,939.68

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Solution

The fourth proportional to 565,584.16, 780,506.64 and 310,939.68 is: 429,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,584.16 : 780,506.64 = 310,939.68 : x
  2. Step 2: Convert to fraction form
    565,584.16/780,506.64 = 310,939.68/x
  3. Step 3: Cross multiply
    565,584.16x = 780,506.64 × 310,939.68
  4. Step 4: Simplify right side
    565,584.16x = 242,690,484,879.48
  5. Step 5: Solve for x
    x = 242,690,484,879.48/565,584.16
  6. Step 6: Final answer
    x = 429,097.03

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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.