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Finding the Fourth Proportional to 208,222.40, 287,343.44 and 112,728.32

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Solution

The fourth proportional to 208,222.40, 287,343.44 and 112,728.32 is: 155,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,222.40 : 287,343.44 = 112,728.32 : x
  2. Step 2: Convert to fraction form
    208,222.40/287,343.44 = 112,728.32/x
  3. Step 3: Cross multiply
    208,222.40x = 287,343.44 × 112,728.32
  4. Step 4: Simplify right side
    208,222.40x = 32,391,743,254.22
  5. Step 5: Solve for x
    x = 32,391,743,254.22/208,222.40
  6. Step 6: Final answer
    x = 155,563.20

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1.5x scale

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.