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Finding the Fourth Proportional to 395,858.50, 546,284.74 and 217,010.50

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Solution

The fourth proportional to 395,858.50, 546,284.74 and 217,010.50 is: 299,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,858.50 : 546,284.74 = 217,010.50 : x
  2. Step 2: Convert to fraction form
    395,858.50/546,284.74 = 217,010.50/x
  3. Step 3: Cross multiply
    395,858.50x = 546,284.74 × 217,010.50
  4. Step 4: Simplify right side
    395,858.50x = 118,549,524,569.77
  5. Step 5: Solve for x
    x = 118,549,524,569.77/395,858.50
  6. Step 6: Final answer
    x = 299,474.50

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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.