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Finding the Fourth Proportional to 457,056.90, 685,649.07 and 190,756.44

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Solution

The fourth proportional to 457,056.90, 685,649.07 and 190,756.44 is: 286,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,056.90 : 685,649.07 = 190,756.44 : x
  2. Step 2: Convert to fraction form
    457,056.90/685,649.07 = 190,756.44/x
  3. Step 3: Cross multiply
    457,056.90x = 685,649.07 × 190,756.44
  4. Step 4: Simplify right side
    457,056.90x = 130,791,975,682.51
  5. Step 5: Solve for x
    x = 130,791,975,682.51/457,056.90
  6. Step 6: Final answer
    x = 286,161.25

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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.