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Finding the Fourth Proportional to 504,707.42, 696,729.49 and 311,149.72

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Solution

The fourth proportional to 504,707.42, 696,729.49 and 311,149.72 is: 429,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,707.42 : 696,729.49 = 311,149.72 : x
  2. Step 2: Convert to fraction form
    504,707.42/696,729.49 = 311,149.72/x
  3. Step 3: Cross multiply
    504,707.42x = 696,729.49 × 311,149.72
  4. Step 4: Simplify right side
    504,707.42x = 216,787,186,693.19
  5. Step 5: Solve for x
    x = 216,787,186,693.19/504,707.42
  6. Step 6: Final answer
    x = 429,530.41

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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.