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Finding the Fourth Proportional to 565,541, 780,464.82 and 310,910.60

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Solution

The fourth proportional to 565,541, 780,464.82 and 310,910.60 is: 429,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,541 : 780,464.82 = 310,910.60 : x
  2. Step 2: Convert to fraction form
    565,541/780,464.82 = 310,910.60/x
  3. Step 3: Cross multiply
    565,541x = 780,464.82 × 310,910.60
  4. Step 4: Simplify right side
    565,541x = 242,654,785,465.09
  5. Step 5: Solve for x
    x = 242,654,785,465.09/565,541
  6. Step 6: Final answer
    x = 429,066.66

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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.