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Finding the Fourth Proportional to 388,807.80, 582,227.55 and 310,075.80

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Solution

The fourth proportional to 388,807.80, 582,227.55 and 310,075.80 is: 464,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,807.80 : 582,227.55 = 310,075.80 : x
  2. Step 2: Convert to fraction form
    388,807.80/582,227.55 = 310,075.80/x
  3. Step 3: Cross multiply
    388,807.80x = 582,227.55 × 310,075.80
  4. Step 4: Simplify right side
    388,807.80x = 180,534,673,348.29
  5. Step 5: Solve for x
    x = 180,534,673,348.29/388,807.80
  6. Step 6: Final answer
    x = 464,328.84

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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.