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Finding the Fourth Proportional to 507,118.24, 699,870.12 and 280,763.74

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Solution

The fourth proportional to 507,118.24, 699,870.12 and 280,763.74 is: 387,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,118.24 : 699,870.12 = 280,763.74 : x
  2. Step 2: Convert to fraction form
    507,118.24/699,870.12 = 280,763.74/x
  3. Step 3: Cross multiply
    507,118.24x = 699,870.12 × 280,763.74
  4. Step 4: Simplify right side
    507,118.24x = 196,498,152,405.45
  5. Step 5: Solve for x
    x = 196,498,152,405.45/507,118.24
  6. Step 6: Final answer
    x = 387,479.95

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1.5x scale

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.