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Finding the Fourth Proportional to 525,114.30, 787,671.45 and 314,643.90

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Solution

The fourth proportional to 525,114.30, 787,671.45 and 314,643.90 is: 471,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,114.30 : 787,671.45 = 314,643.90 : x
  2. Step 2: Convert to fraction form
    525,114.30/787,671.45 = 314,643.90/x
  3. Step 3: Cross multiply
    525,114.30x = 787,671.45 × 314,643.90
  4. Step 4: Simplify right side
    525,114.30x = 247,836,016,946.66
  5. Step 5: Solve for x
    x = 247,836,016,946.66/525,114.30
  6. Step 6: Final answer
    x = 471,965.85

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Similar ratio
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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.