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Finding the Fourth Proportional to 413,913.96, 570,749.22 and 279,544.68

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Solution

The fourth proportional to 413,913.96, 570,749.22 and 279,544.68 is: 385,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,913.96 : 570,749.22 = 279,544.68 : x
  2. Step 2: Convert to fraction form
    413,913.96/570,749.22 = 279,544.68/x
  3. Step 3: Cross multiply
    413,913.96x = 570,749.22 × 279,544.68
  4. Step 4: Simplify right side
    413,913.96x = 159,549,908,065.15
  5. Step 5: Solve for x
    x = 159,549,908,065.15/413,913.96
  6. Step 6: Final answer
    x = 385,466.36

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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.