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Finding the Fourth Proportional to 706,811.67, 975,327.28 and 420,276.40

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Solution

The fourth proportional to 706,811.67, 975,327.28 and 420,276.40 is: 579,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,811.67 : 975,327.28 = 420,276.40 : x
  2. Step 2: Convert to fraction form
    706,811.67/975,327.28 = 420,276.40/x
  3. Step 3: Cross multiply
    706,811.67x = 975,327.28 × 420,276.40
  4. Step 4: Simplify right side
    706,811.67x = 409,907,034,571.18
  5. Step 5: Solve for x
    x = 409,907,034,571.18/706,811.67
  6. Step 6: Final answer
    x = 579,938.12

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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.