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Finding the Fourth Proportional to 315,690.40, 473,017.20 and 262,813.60

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Solution

The fourth proportional to 315,690.40, 473,017.20 and 262,813.60 is: 393,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,690.40 : 473,017.20 = 262,813.60 : x
  2. Step 2: Convert to fraction form
    315,690.40/473,017.20 = 262,813.60/x
  3. Step 3: Cross multiply
    315,690.40x = 473,017.20 × 262,813.60
  4. Step 4: Simplify right side
    315,690.40x = 124,315,353,193.92
  5. Step 5: Solve for x
    x = 124,315,353,193.92/315,690.40
  6. Step 6: Final answer
    x = 393,788.83

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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.