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Finding the Fourth Proportional to 472,787.80, 708,015.30 and 314,157.40

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Solution

The fourth proportional to 472,787.80, 708,015.30 and 314,157.40 is: 470,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,787.80 : 708,015.30 = 314,157.40 : x
  2. Step 2: Convert to fraction form
    472,787.80/708,015.30 = 314,157.40/x
  3. Step 3: Cross multiply
    472,787.80x = 708,015.30 × 314,157.40
  4. Step 4: Simplify right side
    472,787.80x = 222,428,245,808.22
  5. Step 5: Solve for x
    x = 222,428,245,808.22/472,787.80
  6. Step 6: Final answer
    x = 470,461.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.