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Finding the Fourth Proportional to 624,376.80, 935,182.80 and 513,784.80

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Solution

The fourth proportional to 624,376.80, 935,182.80 and 513,784.80 is: 769,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,376.80 : 935,182.80 = 513,784.80 : x
  2. Step 2: Convert to fraction form
    624,376.80/935,182.80 = 513,784.80/x
  3. Step 3: Cross multiply
    624,376.80x = 935,182.80 × 513,784.80
  4. Step 4: Simplify right side
    624,376.80x = 480,482,707,861.44
  5. Step 5: Solve for x
    x = 480,482,707,861.44/624,376.80
  6. Step 6: Final answer
    x = 769,539.66

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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.