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Finding the Fourth Proportional to 428,782.92, 591,681.62 and 237,795.72

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Solution

The fourth proportional to 428,782.92, 591,681.62 and 237,795.72 is: 328,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,782.92 : 591,681.62 = 237,795.72 : x
  2. Step 2: Convert to fraction form
    428,782.92/591,681.62 = 237,795.72/x
  3. Step 3: Cross multiply
    428,782.92x = 591,681.62 × 237,795.72
  4. Step 4: Simplify right side
    428,782.92x = 140,699,356,838.67
  5. Step 5: Solve for x
    x = 140,699,356,838.67/428,782.92
  6. Step 6: Final answer
    x = 328,136.57

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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.