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Finding the Fourth Proportional to 716,655.21, 989,024.94 and 410,782.38

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Solution

The fourth proportional to 716,655.21, 989,024.94 and 410,782.38 is: 566,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,655.21 : 989,024.94 = 410,782.38 : x
  2. Step 2: Convert to fraction form
    716,655.21/989,024.94 = 410,782.38/x
  3. Step 3: Cross multiply
    716,655.21x = 989,024.94 × 410,782.38
  4. Step 4: Simplify right side
    716,655.21x = 406,274,018,732.56
  5. Step 5: Solve for x
    x = 406,274,018,732.56/716,655.21
  6. Step 6: Final answer
    x = 566,903.04

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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.