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Finding the Fourth Proportional to 512,276.00, 706,283.75 and 420,055.51

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Solution

The fourth proportional to 512,276.00, 706,283.75 and 420,055.51 is: 579,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,276.00 : 706,283.75 = 420,055.51 : x
  2. Step 2: Convert to fraction form
    512,276.00/706,283.75 = 420,055.51/x
  3. Step 3: Cross multiply
    512,276.00x = 706,283.75 × 420,055.51
  4. Step 4: Simplify right side
    512,276.00x = 296,678,376,944.98
  5. Step 5: Solve for x
    x = 296,678,376,944.98/512,276.00
  6. Step 6: Final answer
    x = 579,137.76

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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.