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Finding the Fourth Proportional to 780,417, 1,170,599.40 and 330,848.64

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Solution

The fourth proportional to 780,417, 1,170,599.40 and 330,848.64 is: 496,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,417 : 1,170,599.40 = 330,848.64 : x
  2. Step 2: Convert to fraction form
    780,417/1,170,599.40 = 330,848.64/x
  3. Step 3: Cross multiply
    780,417x = 1,170,599.40 × 330,848.64
  4. Step 4: Simplify right side
    780,417x = 387,291,219,474.82
  5. Step 5: Solve for x
    x = 387,291,219,474.82/780,417
  6. Step 6: Final answer
    x = 496,261.90

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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.