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Finding the Fourth Proportional to 839,456, 1,158,415.47 and 457,474.58

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Solution

The fourth proportional to 839,456, 1,158,415.47 and 457,474.58 is: 631,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,456 : 1,158,415.47 = 457,474.58 : x
  2. Step 2: Convert to fraction form
    839,456/1,158,415.47 = 457,474.58/x
  3. Step 3: Cross multiply
    839,456x = 1,158,415.47 × 457,474.58
  4. Step 4: Simplify right side
    839,456x = 529,945,630,603.75
  5. Step 5: Solve for x
    x = 529,945,630,603.75/839,456
  6. Step 6: Final answer
    x = 631,296.50

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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.