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Finding the Fourth Proportional to 565,602.68, 780,524.70 and 310,951.64

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Solution

The fourth proportional to 565,602.68, 780,524.70 and 310,951.64 is: 429,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,602.68 : 780,524.70 = 310,951.64 : x
  2. Step 2: Convert to fraction form
    565,602.68/780,524.70 = 310,951.64/x
  3. Step 3: Cross multiply
    565,602.68x = 780,524.70 × 310,951.64
  4. Step 4: Simplify right side
    565,602.68x = 242,705,435,525.51
  5. Step 5: Solve for x
    x = 242,705,435,525.51/565,602.68
  6. Step 6: Final answer
    x = 429,109.42

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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.