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Finding the Fourth Proportional to 512,574.90, 707,360.16 and 283,131.60

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Solution

The fourth proportional to 512,574.90, 707,360.16 and 283,131.60 is: 390,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,574.90 : 707,360.16 = 283,131.60 : x
  2. Step 2: Convert to fraction form
    512,574.90/707,360.16 = 283,131.60/x
  3. Step 3: Cross multiply
    512,574.90x = 707,360.16 × 283,131.60
  4. Step 4: Simplify right side
    512,574.90x = 200,276,013,877.06
  5. Step 5: Solve for x
    x = 200,276,013,877.06/512,574.90
  6. Step 6: Final answer
    x = 390,725.36

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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.