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Finding the Fourth Proportional to 512,420.24, 707,132.53 and 282,987.23

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Solution

The fourth proportional to 512,420.24, 707,132.53 and 282,987.23 is: 390,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,420.24 : 707,132.53 = 282,987.23 : x
  2. Step 2: Convert to fraction form
    512,420.24/707,132.53 = 282,987.23/x
  3. Step 3: Cross multiply
    512,420.24x = 707,132.53 × 282,987.23
  4. Step 4: Simplify right side
    512,420.24x = 200,109,475,907.59
  5. Step 5: Solve for x
    x = 200,109,475,907.59/512,420.24
  6. Step 6: Final answer
    x = 390,518.29

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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.