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Finding the Fourth Proportional to 712,652.22, 983,475.90 and 406,722.51

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Solution

The fourth proportional to 712,652.22, 983,475.90 and 406,722.51 is: 561,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,652.22 : 983,475.90 = 406,722.51 : x
  2. Step 2: Convert to fraction form
    712,652.22/983,475.90 = 406,722.51/x
  3. Step 3: Cross multiply
    712,652.22x = 983,475.90 × 406,722.51
  4. Step 4: Simplify right side
    712,652.22x = 400,001,786,572.51
  5. Step 5: Solve for x
    x = 400,001,786,572.51/712,652.22
  6. Step 6: Final answer
    x = 561,286.10

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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.