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Finding the Fourth Proportional to 413,287.36, 570,312.80 and 231,982.40

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Solution

The fourth proportional to 413,287.36, 570,312.80 and 231,982.40 is: 320,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,287.36 : 570,312.80 = 231,982.40 : x
  2. Step 2: Convert to fraction form
    413,287.36/570,312.80 = 231,982.40/x
  3. Step 3: Cross multiply
    413,287.36x = 570,312.80 × 231,982.40
  4. Step 4: Simplify right side
    413,287.36x = 132,302,532,094.72
  5. Step 5: Solve for x
    x = 132,302,532,094.72/413,287.36
  6. Step 6: Final answer
    x = 320,122.38

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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.