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Finding the Fourth Proportional to 472,051.90, 651,439.08 and 257,191.87

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Solution

The fourth proportional to 472,051.90, 651,439.08 and 257,191.87 is: 354,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,051.90 : 651,439.08 = 257,191.87 : x
  2. Step 2: Convert to fraction form
    472,051.90/651,439.08 = 257,191.87/x
  3. Step 3: Cross multiply
    472,051.90x = 651,439.08 × 257,191.87
  4. Step 4: Simplify right side
    472,051.90x = 167,544,835,176.28
  5. Step 5: Solve for x
    x = 167,544,835,176.28/472,051.90
  6. Step 6: Final answer
    x = 354,928.84

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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.