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Finding the Fourth Proportional to 712,820.25, 983,449.76 and 406,676.70

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Solution

The fourth proportional to 712,820.25, 983,449.76 and 406,676.70 is: 561,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,820.25 : 983,449.76 = 406,676.70 : x
  2. Step 2: Convert to fraction form
    712,820.25/983,449.76 = 406,676.70/x
  3. Step 3: Cross multiply
    712,820.25x = 983,449.76 × 406,676.70
  4. Step 4: Simplify right side
    712,820.25x = 399,946,100,979.21
  5. Step 5: Solve for x
    x = 399,946,100,979.21/712,820.25
  6. Step 6: Final answer
    x = 561,075.67

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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.