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Finding the Fourth Proportional to 712,642.84, 983,173.46 and 406,736.21

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Solution

The fourth proportional to 712,642.84, 983,173.46 and 406,736.21 is: 561,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,642.84 : 983,173.46 = 406,736.21 : x
  2. Step 2: Convert to fraction form
    712,642.84/983,173.46 = 406,736.21/x
  3. Step 3: Cross multiply
    712,642.84x = 983,173.46 × 406,736.21
  4. Step 4: Simplify right side
    712,642.84x = 399,892,250,367.76
  5. Step 5: Solve for x
    x = 399,892,250,367.76/712,642.84
  6. Step 6: Final answer
    x = 561,139.79

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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.