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Finding the Fourth Proportional to 395,297.10, 545,510.21 and 214,009.07

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Solution

The fourth proportional to 395,297.10, 545,510.21 and 214,009.07 is: 295,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,297.10 : 545,510.21 = 214,009.07 : x
  2. Step 2: Convert to fraction form
    395,297.10/545,510.21 = 214,009.07/x
  3. Step 3: Cross multiply
    395,297.10x = 545,510.21 × 214,009.07
  4. Step 4: Simplify right side
    395,297.10x = 116,744,128,920.01
  5. Step 5: Solve for x
    x = 116,744,128,920.01/395,297.10
  6. Step 6: Final answer
    x = 295,332.62

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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.