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Finding the Fourth Proportional to 565,564.80, 780,459.60 and 310,914.15

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Solution

The fourth proportional to 565,564.80, 780,459.60 and 310,914.15 is: 429,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,564.80 : 780,459.60 = 310,914.15 : x
  2. Step 2: Convert to fraction form
    565,564.80/780,459.60 = 310,914.15/x
  3. Step 3: Cross multiply
    565,564.80x = 780,459.60 × 310,914.15
  4. Step 4: Simplify right side
    565,564.80x = 242,655,933,143.34
  5. Step 5: Solve for x
    x = 242,655,933,143.34/565,564.80
  6. Step 6: Final answer
    x = 429,050.63

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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.