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Finding the Fourth Proportional to 504,867.56, 696,706.02 and 278,513

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Solution

The fourth proportional to 504,867.56, 696,706.02 and 278,513 is: 384,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,867.56 : 696,706.02 = 278,513 : x
  2. Step 2: Convert to fraction form
    504,867.56/696,706.02 = 278,513/x
  3. Step 3: Cross multiply
    504,867.56x = 696,706.02 × 278,513
  4. Step 4: Simplify right side
    504,867.56x = 194,041,683,748.26
  5. Step 5: Solve for x
    x = 194,041,683,748.26/504,867.56
  6. Step 6: Final answer
    x = 384,341.75

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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.