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Finding the Fourth Proportional to 407,030, 561,698.34 and 223,272.76

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Solution

The fourth proportional to 407,030, 561,698.34 and 223,272.76 is: 308,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,030 : 561,698.34 = 223,272.76 : x
  2. Step 2: Convert to fraction form
    407,030/561,698.34 = 223,272.76/x
  3. Step 3: Cross multiply
    407,030x = 561,698.34 × 223,272.76
  4. Step 4: Simplify right side
    407,030x = 125,411,938,659.22
  5. Step 5: Solve for x
    x = 125,411,938,659.22/407,030
  6. Step 6: Final answer
    x = 308,114.73

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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.