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Finding the Fourth Proportional to 706,794.54, 975,054.15 and 420,151.74

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Solution

The fourth proportional to 706,794.54, 975,054.15 and 420,151.74 is: 579,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,794.54 : 975,054.15 = 420,151.74 : x
  2. Step 2: Convert to fraction form
    706,794.54/975,054.15 = 420,151.74/x
  3. Step 3: Cross multiply
    706,794.54x = 975,054.15 × 420,151.74
  4. Step 4: Simplify right side
    706,794.54x = 409,670,697,716.72
  5. Step 5: Solve for x
    x = 409,670,697,716.72/706,794.54
  6. Step 6: Final answer
    x = 579,617.80

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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.