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Finding the Fourth Proportional to 340,893.69, 470,157.24 and 299,969.46

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Solution

The fourth proportional to 340,893.69, 470,157.24 and 299,969.46 is: 413,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,893.69 : 470,157.24 = 299,969.46 : x
  2. Step 2: Convert to fraction form
    340,893.69/470,157.24 = 299,969.46/x
  3. Step 3: Cross multiply
    340,893.69x = 470,157.24 × 299,969.46
  4. Step 4: Simplify right side
    340,893.69x = 141,032,813,397.89
  5. Step 5: Solve for x
    x = 141,032,813,397.89/340,893.69
  6. Step 6: Final answer
    x = 413,714.94

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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.