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Finding the Fourth Proportional to 524,820.80, 786,064.80 and 431,508.80

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Solution

The fourth proportional to 524,820.80, 786,064.80 and 431,508.80 is: 646,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,820.80 : 786,064.80 = 431,508.80 : x
  2. Step 2: Convert to fraction form
    524,820.80/786,064.80 = 431,508.80/x
  3. Step 3: Cross multiply
    524,820.80x = 786,064.80 × 431,508.80
  4. Step 4: Simplify right side
    524,820.80x = 339,193,878,570.24
  5. Step 5: Solve for x
    x = 339,193,878,570.24/524,820.80
  6. Step 6: Final answer
    x = 646,304.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.