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Finding the Fourth Proportional to 407,548.20, 611,783.10 and 314,466.60

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Solution

The fourth proportional to 407,548.20, 611,783.10 and 314,466.60 is: 472,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,548.20 : 611,783.10 = 314,466.60 : x
  2. Step 2: Convert to fraction form
    407,548.20/611,783.10 = 314,466.60/x
  3. Step 3: Cross multiply
    407,548.20x = 611,783.10 × 314,466.60
  4. Step 4: Simplify right side
    407,548.20x = 192,385,351,394.46
  5. Step 5: Solve for x
    x = 192,385,351,394.46/407,548.20
  6. Step 6: Final answer
    x = 472,055.46

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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.