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Finding the Fourth Proportional to 340,925.36, 470,304 and 260,212.80

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Solution

The fourth proportional to 340,925.36, 470,304 and 260,212.80 is: 358,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,925.36 : 470,304 = 260,212.80 : x
  2. Step 2: Convert to fraction form
    340,925.36/470,304 = 260,212.80/x
  3. Step 3: Cross multiply
    340,925.36x = 470,304 × 260,212.80
  4. Step 4: Simplify right side
    340,925.36x = 122,379,120,691.20
  5. Step 5: Solve for x
    x = 122,379,120,691.20/340,925.36
  6. Step 6: Final answer
    x = 358,961.62

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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.