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Finding the Fourth Proportional to 549,604, 758,453.52 and 311,140

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Solution

The fourth proportional to 549,604, 758,453.52 and 311,140 is: 429,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,604 : 758,453.52 = 311,140 : x
  2. Step 2: Convert to fraction form
    549,604/758,453.52 = 311,140/x
  3. Step 3: Cross multiply
    549,604x = 758,453.52 × 311,140
  4. Step 4: Simplify right side
    549,604x = 235,985,228,212.80
  5. Step 5: Solve for x
    x = 235,985,228,212.80/549,604
  6. Step 6: Final answer
    x = 429,373.20

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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.