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Finding the Fourth Proportional to 314,533.94, 431,615.49 and 286,021.94

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Solution

The fourth proportional to 314,533.94, 431,615.49 and 286,021.94 is: 392,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,533.94 : 431,615.49 = 286,021.94 : x
  2. Step 2: Convert to fraction form
    314,533.94/431,615.49 = 286,021.94/x
  3. Step 3: Cross multiply
    314,533.94x = 431,615.49 × 286,021.94
  4. Step 4: Simplify right side
    314,533.94x = 123,451,498,353.74
  5. Step 5: Solve for x
    x = 123,451,498,353.74/314,533.94
  6. Step 6: Final answer
    x = 392,490.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.