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Finding the Fourth Proportional to 345,877.85, 515,378.24 and 308,148.00

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Solution

The fourth proportional to 345,877.85, 515,378.24 and 308,148.00 is: 459,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,877.85 : 515,378.24 = 308,148.00 : x
  2. Step 2: Convert to fraction form
    345,877.85/515,378.24 = 308,148.00/x
  3. Step 3: Cross multiply
    345,877.85x = 515,378.24 × 308,148.00
  4. Step 4: Simplify right side
    345,877.85x = 158,812,773,315.00
  5. Step 5: Solve for x
    x = 158,812,773,315.00/345,877.85
  6. Step 6: Final answer
    x = 459,158.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.