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Finding the Fourth Proportional to 510,012.77, 703,795.43 and 280,555.51

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Solution

The fourth proportional to 510,012.77, 703,795.43 and 280,555.51 is: 387,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,012.77 : 703,795.43 = 280,555.51 : x
  2. Step 2: Convert to fraction form
    510,012.77/703,795.43 = 280,555.51/x
  3. Step 3: Cross multiply
    510,012.77x = 703,795.43 × 280,555.51
  4. Step 4: Simplify right side
    510,012.77x = 197,453,682,637.05
  5. Step 5: Solve for x
    x = 197,453,682,637.05/510,012.77
  6. Step 6: Final answer
    x = 387,154.39

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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.