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Finding the Fourth Proportional to 560,746.64, 840,258.50 and 380,597.78

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Solution

The fourth proportional to 560,746.64, 840,258.50 and 380,597.78 is: 570,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,746.64 : 840,258.50 = 380,597.78 : x
  2. Step 2: Convert to fraction form
    560,746.64/840,258.50 = 380,597.78/x
  3. Step 3: Cross multiply
    560,746.64x = 840,258.50 × 380,597.78
  4. Step 4: Simplify right side
    560,746.64x = 319,800,519,726.13
  5. Step 5: Solve for x
    x = 319,800,519,726.13/560,746.64
  6. Step 6: Final answer
    x = 570,311.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.