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Finding the Fourth Proportional to 314,143.88, 467,662.78 and 312,275.58

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Solution

The fourth proportional to 314,143.88, 467,662.78 and 312,275.58 is: 464,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,143.88 : 467,662.78 = 312,275.58 : x
  2. Step 2: Convert to fraction form
    314,143.88/467,662.78 = 312,275.58/x
  3. Step 3: Cross multiply
    314,143.88x = 467,662.78 × 312,275.58
  4. Step 4: Simplify right side
    314,143.88x = 146,039,665,868.91
  5. Step 5: Solve for x
    x = 146,039,665,868.91/314,143.88
  6. Step 6: Final answer
    x = 464,881.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.