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Finding the Fourth Proportional to 525,783.10, 788,674.65 and 399,811.90

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Solution

The fourth proportional to 525,783.10, 788,674.65 and 399,811.90 is: 599,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,783.10 : 788,674.65 = 399,811.90 : x
  2. Step 2: Convert to fraction form
    525,783.10/788,674.65 = 399,811.90/x
  3. Step 3: Cross multiply
    525,783.10x = 788,674.65 × 399,811.90
  4. Step 4: Simplify right side
    525,783.10x = 315,321,510,298.34
  5. Step 5: Solve for x
    x = 315,321,510,298.34/525,783.10
  6. Step 6: Final answer
    x = 599,717.85

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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.