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Finding the Fourth Proportional to 772,008.84, 1,065,374.70 and 427,850.40

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Solution

The fourth proportional to 772,008.84, 1,065,374.70 and 427,850.40 is: 590,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,008.84 : 1,065,374.70 = 427,850.40 : x
  2. Step 2: Convert to fraction form
    772,008.84/1,065,374.70 = 427,850.40/x
  3. Step 3: Cross multiply
    772,008.84x = 1,065,374.70 × 427,850.40
  4. Step 4: Simplify right side
    772,008.84x = 455,820,991,544.88
  5. Step 5: Solve for x
    x = 455,820,991,544.88/772,008.84
  6. Step 6: Final answer
    x = 590,434.94

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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.