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Finding the Fourth Proportional to 395,294.85, 545,507.10 and 214,006.82

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Solution

The fourth proportional to 395,294.85, 545,507.10 and 214,006.82 is: 295,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,294.85 : 545,507.10 = 214,006.82 : x
  2. Step 2: Convert to fraction form
    395,294.85/545,507.10 = 214,006.82/x
  3. Step 3: Cross multiply
    395,294.85x = 545,507.10 × 214,006.82
  4. Step 4: Simplify right side
    395,294.85x = 116,742,237,030.89
  5. Step 5: Solve for x
    x = 116,742,237,030.89/395,294.85
  6. Step 6: Final answer
    x = 295,329.52

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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.