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Finding the Fourth Proportional to 512,130.88, 706,740.65 and 282,688.22

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Solution

The fourth proportional to 512,130.88, 706,740.65 and 282,688.22 is: 390,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,130.88 : 706,740.65 = 282,688.22 : x
  2. Step 2: Convert to fraction form
    512,130.88/706,740.65 = 282,688.22/x
  3. Step 3: Cross multiply
    512,130.88x = 706,740.65 × 282,688.22
  4. Step 4: Simplify right side
    512,130.88x = 199,787,257,763.63
  5. Step 5: Solve for x
    x = 199,787,257,763.63/512,130.88
  6. Step 6: Final answer
    x = 390,109.77

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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.