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Finding the Fourth Proportional to 340,612.80, 470,060.16 and 189,709.80

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Solution

The fourth proportional to 340,612.80, 470,060.16 and 189,709.80 is: 261,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,612.80 : 470,060.16 = 189,709.80 : x
  2. Step 2: Convert to fraction form
    340,612.80/470,060.16 = 189,709.80/x
  3. Step 3: Cross multiply
    340,612.80x = 470,060.16 × 189,709.80
  4. Step 4: Simplify right side
    340,612.80x = 89,175,018,941.57
  5. Step 5: Solve for x
    x = 89,175,018,941.57/340,612.80
  6. Step 6: Final answer
    x = 261,807.60

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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.