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Finding the Fourth Proportional to 307,670.42, 461,559.80 and 105,218.93

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Solution

The fourth proportional to 307,670.42, 461,559.80 and 105,218.93 is: 157,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,670.42 : 461,559.80 = 105,218.93 : x
  2. Step 2: Convert to fraction form
    307,670.42/461,559.80 = 105,218.93/x
  3. Step 3: Cross multiply
    307,670.42x = 461,559.80 × 105,218.93
  4. Step 4: Simplify right side
    307,670.42x = 48,564,829,703.96
  5. Step 5: Solve for x
    x = 48,564,829,703.96/307,670.42
  6. Step 6: Final answer
    x = 157,846.92

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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.