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Finding the Fourth Proportional to 712,647.72, 983,469.67 and 406,718.01

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Solution

The fourth proportional to 712,647.72, 983,469.67 and 406,718.01 is: 561,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,647.72 : 983,469.67 = 406,718.01 : x
  2. Step 2: Convert to fraction form
    712,647.72/983,469.67 = 406,718.01/x
  3. Step 3: Cross multiply
    712,647.72x = 983,469.67 × 406,718.01
  4. Step 4: Simplify right side
    712,647.72x = 399,994,826,060.96
  5. Step 5: Solve for x
    x = 399,994,826,060.96/712,647.72
  6. Step 6: Final answer
    x = 561,279.88

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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.