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Finding the Fourth Proportional to 504,853.20, 696,705.12 and 278,498.64

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Solution

The fourth proportional to 504,853.20, 696,705.12 and 278,498.64 is: 384,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,853.20 : 696,705.12 = 278,498.64 : x
  2. Step 2: Convert to fraction form
    504,853.20/696,705.12 = 278,498.64/x
  3. Step 3: Cross multiply
    504,853.20x = 696,705.12 × 278,498.64
  4. Step 4: Simplify right side
    504,853.20x = 194,031,428,401.04
  5. Step 5: Solve for x
    x = 194,031,428,401.04/504,853.20
  6. Step 6: Final answer
    x = 384,332.37

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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.