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Finding the Fourth Proportional to 314,643.20, 471,187.20 and 208,889.60

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Solution

The fourth proportional to 314,643.20, 471,187.20 and 208,889.60 is: 312,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,643.20 : 471,187.20 = 208,889.60 : x
  2. Step 2: Convert to fraction form
    314,643.20/471,187.20 = 208,889.60/x
  3. Step 3: Cross multiply
    314,643.20x = 471,187.20 × 208,889.60
  4. Step 4: Simplify right side
    314,643.20x = 98,426,105,733.12
  5. Step 5: Solve for x
    x = 98,426,105,733.12/314,643.20
  6. Step 6: Final answer
    x = 312,818.16

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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.