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Finding the Fourth Proportional to 509,742.72, 703,365.12 and 294,865.92

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Solution

The fourth proportional to 509,742.72, 703,365.12 and 294,865.92 is: 406,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,742.72 : 703,365.12 = 294,865.92 : x
  2. Step 2: Convert to fraction form
    509,742.72/703,365.12 = 294,865.92/x
  3. Step 3: Cross multiply
    509,742.72x = 703,365.12 × 294,865.92
  4. Step 4: Simplify right side
    509,742.72x = 207,398,403,204.71
  5. Step 5: Solve for x
    x = 207,398,403,204.71/509,742.72
  6. Step 6: Final answer
    x = 406,868.79

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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.