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Finding the Fourth Proportional to 567,486.63, 783,136.80 and 312,846.93

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Solution

The fourth proportional to 567,486.63, 783,136.80 and 312,846.93 is: 431,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,486.63 : 783,136.80 = 312,846.93 : x
  2. Step 2: Convert to fraction form
    567,486.63/783,136.80 = 312,846.93/x
  3. Step 3: Cross multiply
    567,486.63x = 783,136.80 × 312,846.93
  4. Step 4: Simplify right side
    567,486.63x = 245,001,943,650.02
  5. Step 5: Solve for x
    x = 245,001,943,650.02/567,486.63
  6. Step 6: Final answer
    x = 431,731.66

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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.