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Finding the Fourth Proportional to 661,055.86, 911,921.32 and 431,747.50

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Solution

The fourth proportional to 661,055.86, 911,921.32 and 431,747.50 is: 595,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,055.86 : 911,921.32 = 431,747.50 : x
  2. Step 2: Convert to fraction form
    661,055.86/911,921.32 = 431,747.50/x
  3. Step 3: Cross multiply
    661,055.86x = 911,921.32 × 431,747.50
  4. Step 4: Simplify right side
    661,055.86x = 393,719,750,106.70
  5. Step 5: Solve for x
    x = 393,719,750,106.70/661,055.86
  6. Step 6: Final answer
    x = 595,592.25

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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.