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Finding the Fourth Proportional to 340,807.35, 470,349.14 and 204,885.30

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Solution

The fourth proportional to 340,807.35, 470,349.14 and 204,885.30 is: 282,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,807.35 : 470,349.14 = 204,885.30 : x
  2. Step 2: Convert to fraction form
    340,807.35/470,349.14 = 204,885.30/x
  3. Step 3: Cross multiply
    340,807.35x = 470,349.14 × 204,885.30
  4. Step 4: Simplify right side
    340,807.35x = 96,367,624,653.64
  5. Step 5: Solve for x
    x = 96,367,624,653.64/340,807.35
  6. Step 6: Final answer
    x = 282,762.75

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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.