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Finding the Fourth Proportional to 407,852.15, 611,840.40 and 208,063.55

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Solution

The fourth proportional to 407,852.15, 611,840.40 and 208,063.55 is: 312,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,852.15 : 611,840.40 = 208,063.55 : x
  2. Step 2: Convert to fraction form
    407,852.15/611,840.40 = 208,063.55/x
  3. Step 3: Cross multiply
    407,852.15x = 611,840.40 × 208,063.55
  4. Step 4: Simplify right side
    407,852.15x = 127,301,682,598.22
  5. Step 5: Solve for x
    x = 127,301,682,598.22/407,852.15
  6. Step 6: Final answer
    x = 312,127.04

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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.