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Finding the Fourth Proportional to 525,381.80, 788,655.90 and 407,575.40

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Solution

The fourth proportional to 525,381.80, 788,655.90 and 407,575.40 is: 611,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,381.80 : 788,655.90 = 407,575.40 : x
  2. Step 2: Convert to fraction form
    525,381.80/788,655.90 = 407,575.40/x
  3. Step 3: Cross multiply
    525,381.80x = 788,655.90 × 407,575.40
  4. Step 4: Simplify right side
    525,381.80x = 321,436,743,904.86
  5. Step 5: Solve for x
    x = 321,436,743,904.86/525,381.80
  6. Step 6: Final answer
    x = 611,815.53

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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.