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Finding the Fourth Proportional to 341,312.94, 470,994.75 and 190,380.78

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Solution

The fourth proportional to 341,312.94, 470,994.75 and 190,380.78 is: 262,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,312.94 : 470,994.75 = 190,380.78 : x
  2. Step 2: Convert to fraction form
    341,312.94/470,994.75 = 190,380.78/x
  3. Step 3: Cross multiply
    341,312.94x = 470,994.75 × 190,380.78
  4. Step 4: Simplify right side
    341,312.94x = 89,668,347,880.91
  5. Step 5: Solve for x
    x = 89,668,347,880.91/341,312.94
  6. Step 6: Final answer
    x = 262,715.93

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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.