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Finding the Fourth Proportional to 516,798.32, 713,221.63 and 310,074.44

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Solution

The fourth proportional to 516,798.32, 713,221.63 and 310,074.44 is: 427,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,798.32 : 713,221.63 = 310,074.44 : x
  2. Step 2: Convert to fraction form
    516,798.32/713,221.63 = 310,074.44/x
  3. Step 3: Cross multiply
    516,798.32x = 713,221.63 × 310,074.44
  4. Step 4: Simplify right side
    516,798.32x = 221,151,793,176.84
  5. Step 5: Solve for x
    x = 221,151,793,176.84/516,798.32
  6. Step 6: Final answer
    x = 427,926.69

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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.