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Finding the Fourth Proportional to 382,725, 570,044.61 and 362,740.68

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Solution

The fourth proportional to 382,725, 570,044.61 and 362,740.68 is: 540,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,725 : 570,044.61 = 362,740.68 : x
  2. Step 2: Convert to fraction form
    382,725/570,044.61 = 362,740.68/x
  3. Step 3: Cross multiply
    382,725x = 570,044.61 × 362,740.68
  4. Step 4: Simplify right side
    382,725x = 206,778,369,461.74
  5. Step 5: Solve for x
    x = 206,778,369,461.74/382,725
  6. Step 6: Final answer
    x = 540,279.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.