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Finding the Fourth Proportional to 395,569.34, 545,888.30 and 214,281.28

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Solution

The fourth proportional to 395,569.34, 545,888.30 and 214,281.28 is: 295,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,569.34 : 545,888.30 = 214,281.28 : x
  2. Step 2: Convert to fraction form
    395,569.34/545,888.30 = 214,281.28/x
  3. Step 3: Cross multiply
    395,569.34x = 545,888.30 × 214,281.28
  4. Step 4: Simplify right side
    395,569.34x = 116,973,643,661.02
  5. Step 5: Solve for x
    x = 116,973,643,661.02/395,569.34
  6. Step 6: Final answer
    x = 295,709.58

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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.