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Finding the Fourth Proportional to 512,010.40, 706,572.90 and 282,566.02

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Solution

The fourth proportional to 512,010.40, 706,572.90 and 282,566.02 is: 389,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,010.40 : 706,572.90 = 282,566.02 : x
  2. Step 2: Convert to fraction form
    512,010.40/706,572.90 = 282,566.02/x
  3. Step 3: Cross multiply
    512,010.40x = 706,572.90 × 282,566.02
  4. Step 4: Simplify right side
    512,010.40x = 199,653,492,192.86
  5. Step 5: Solve for x
    x = 199,653,492,192.86/512,010.40
  6. Step 6: Final answer
    x = 389,940.31

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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.