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Finding the Fourth Proportional to 780,994, 1,170,153.64 and 426,257

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Solution

The fourth proportional to 780,994, 1,170,153.64 and 426,257 is: 638,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,994 : 1,170,153.64 = 426,257 : x
  2. Step 2: Convert to fraction form
    780,994/1,170,153.64 = 426,257/x
  3. Step 3: Cross multiply
    780,994x = 1,170,153.64 × 426,257
  4. Step 4: Simplify right side
    780,994x = 498,786,180,125.48
  5. Step 5: Solve for x
    x = 498,786,180,125.48/780,994
  6. Step 6: Final answer
    x = 638,655.59

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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.