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Finding the Fourth Proportional to 534,014.92, 736,934.36 and 288,994

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Solution

The fourth proportional to 534,014.92, 736,934.36 and 288,994 is: 398,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,014.92 : 736,934.36 = 288,994 : x
  2. Step 2: Convert to fraction form
    534,014.92/736,934.36 = 288,994/x
  3. Step 3: Cross multiply
    534,014.92x = 736,934.36 × 288,994
  4. Step 4: Simplify right side
    534,014.92x = 212,969,608,433.84
  5. Step 5: Solve for x
    x = 212,969,608,433.84/534,014.92
  6. Step 6: Final answer
    x = 398,808.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.