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Finding the Fourth Proportional to 525,709.40, 788,564.10 and 407,744.60

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Solution

The fourth proportional to 525,709.40, 788,564.10 and 407,744.60 is: 611,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,709.40 : 788,564.10 = 407,744.60 : x
  2. Step 2: Convert to fraction form
    525,709.40/788,564.10 = 407,744.60/x
  3. Step 3: Cross multiply
    525,709.40x = 788,564.10 × 407,744.60
  4. Step 4: Simplify right side
    525,709.40x = 321,532,753,528.86
  5. Step 5: Solve for x
    x = 321,532,753,528.86/525,709.40
  6. Step 6: Final answer
    x = 611,616.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.