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Finding the Fourth Proportional to 398,160, 549,460.80 and 219,312

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Solution

The fourth proportional to 398,160, 549,460.80 and 219,312 is: 302,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,160 : 549,460.80 = 219,312 : x
  2. Step 2: Convert to fraction form
    398,160/549,460.80 = 219,312/x
  3. Step 3: Cross multiply
    398,160x = 549,460.80 × 219,312
  4. Step 4: Simplify right side
    398,160x = 120,503,346,969.60
  5. Step 5: Solve for x
    x = 120,503,346,969.60/398,160
  6. Step 6: Final answer
    x = 302,650.56

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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.