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Finding the Fourth Proportional to 565,564.50, 780,483.81 and 310,910.10

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Solution

The fourth proportional to 565,564.50, 780,483.81 and 310,910.10 is: 429,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,564.50 : 780,483.81 = 310,910.10 : x
  2. Step 2: Convert to fraction form
    565,564.50/780,483.81 = 310,910.10/x
  3. Step 3: Cross multiply
    565,564.50x = 780,483.81 × 310,910.10
  4. Step 4: Simplify right side
    565,564.50x = 242,660,299,415.48
  5. Step 5: Solve for x
    x = 242,660,299,415.48/565,564.50
  6. Step 6: Final answer
    x = 429,058.58

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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.