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Finding the Fourth Proportional to 314,534.94, 431,616.86 and 286,022.94

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Solution

The fourth proportional to 314,534.94, 431,616.86 and 286,022.94 is: 392,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,534.94 : 431,616.86 = 286,022.94 : x
  2. Step 2: Convert to fraction form
    314,534.94/431,616.86 = 286,022.94/x
  3. Step 3: Cross multiply
    314,534.94x = 431,616.86 × 286,022.94
  4. Step 4: Simplify right side
    314,534.94x = 123,452,323,250.77
  5. Step 5: Solve for x
    x = 123,452,323,250.77/314,534.94
  6. Step 6: Final answer
    x = 392,491.60

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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.