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Finding the Fourth Proportional to 385,274.46, 577,128.33 and 314,449.50

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Solution

The fourth proportional to 385,274.46, 577,128.33 and 314,449.50 is: 471,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,274.46 : 577,128.33 = 314,449.50 : x
  2. Step 2: Convert to fraction form
    385,274.46/577,128.33 = 314,449.50/x
  3. Step 3: Cross multiply
    385,274.46x = 577,128.33 × 314,449.50
  4. Step 4: Simplify right side
    385,274.46x = 181,477,714,804.34
  5. Step 5: Solve for x
    x = 181,477,714,804.34/385,274.46
  6. Step 6: Final answer
    x = 471,034.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.