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Finding the Fourth Proportional to 319,075.20, 478,612.80 and 161,611.20

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Solution

The fourth proportional to 319,075.20, 478,612.80 and 161,611.20 is: 242,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,075.20 : 478,612.80 = 161,611.20 : x
  2. Step 2: Convert to fraction form
    319,075.20/478,612.80 = 161,611.20/x
  3. Step 3: Cross multiply
    319,075.20x = 478,612.80 × 161,611.20
  4. Step 4: Simplify right side
    319,075.20x = 77,349,188,943.36
  5. Step 5: Solve for x
    x = 77,349,188,943.36/319,075.20
  6. Step 6: Final answer
    x = 242,416.80

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1.5x scale

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.