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Finding the Fourth Proportional to 560,654.42, 840,120.48 and 380,505.74

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Solution

The fourth proportional to 560,654.42, 840,120.48 and 380,505.74 is: 570,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,654.42 : 840,120.48 = 380,505.74 : x
  2. Step 2: Convert to fraction form
    560,654.42/840,120.48 = 380,505.74/x
  3. Step 3: Cross multiply
    560,654.42x = 840,120.48 × 380,505.74
  4. Step 4: Simplify right side
    560,654.42x = 319,670,660,730.95
  5. Step 5: Solve for x
    x = 319,670,660,730.95/560,654.42
  6. Step 6: Final answer
    x = 570,174.16

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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.