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Finding the Fourth Proportional to 390,243.36, 538,534.72 and 220,477.44

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Solution

The fourth proportional to 390,243.36, 538,534.72 and 220,477.44 is: 304,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,243.36 : 538,534.72 = 220,477.44 : x
  2. Step 2: Convert to fraction form
    390,243.36/538,534.72 = 220,477.44/x
  3. Step 3: Cross multiply
    390,243.36x = 538,534.72 × 220,477.44
  4. Step 4: Simplify right side
    390,243.36x = 118,734,756,416.72
  5. Step 5: Solve for x
    x = 118,734,756,416.72/390,243.36
  6. Step 6: Final answer
    x = 304,258.24

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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.