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Finding the Fourth Proportional to 462,929.86, 639,205.59 and 355,329.46

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Solution

The fourth proportional to 462,929.86, 639,205.59 and 355,329.46 is: 490,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,929.86 : 639,205.59 = 355,329.46 : x
  2. Step 2: Convert to fraction form
    462,929.86/639,205.59 = 355,329.46/x
  3. Step 3: Cross multiply
    462,929.86x = 639,205.59 × 355,329.46
  4. Step 4: Simplify right side
    462,929.86x = 227,128,577,123.68
  5. Step 5: Solve for x
    x = 227,128,577,123.68/462,929.86
  6. Step 6: Final answer
    x = 490,632.81

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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.