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Finding the Fourth Proportional to 687,742.08, 949,087.40 and 429,768.80

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Solution

The fourth proportional to 687,742.08, 949,087.40 and 429,768.80 is: 593,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,742.08 : 949,087.40 = 429,768.80 : x
  2. Step 2: Convert to fraction form
    687,742.08/949,087.40 = 429,768.80/x
  3. Step 3: Cross multiply
    687,742.08x = 949,087.40 × 429,768.80
  4. Step 4: Simplify right side
    687,742.08x = 407,888,152,993.12
  5. Step 5: Solve for x
    x = 407,888,152,993.12/687,742.08
  6. Step 6: Final answer
    x = 593,083.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.