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Finding the Fourth Proportional to 397,907.58, 549,095.66 and 216,615.76

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Solution

The fourth proportional to 397,907.58, 549,095.66 and 216,615.76 is: 298,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,907.58 : 549,095.66 = 216,615.76 : x
  2. Step 2: Convert to fraction form
    397,907.58/549,095.66 = 216,615.76/x
  3. Step 3: Cross multiply
    397,907.58x = 549,095.66 × 216,615.76
  4. Step 4: Simplify right side
    397,907.58x = 118,942,773,703.60
  5. Step 5: Solve for x
    x = 118,942,773,703.60/397,907.58
  6. Step 6: Final answer
    x = 298,920.60

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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.