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Finding the Fourth Proportional to 549,144.50, 757,832.05 and 307,420.98

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Solution

The fourth proportional to 549,144.50, 757,832.05 and 307,420.98 is: 424,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,144.50 : 757,832.05 = 307,420.98 : x
  2. Step 2: Convert to fraction form
    549,144.50/757,832.05 = 307,420.98/x
  3. Step 3: Cross multiply
    549,144.50x = 757,832.05 × 307,420.98
  4. Step 4: Simplify right side
    549,144.50x = 232,973,471,486.41
  5. Step 5: Solve for x
    x = 232,973,471,486.41/549,144.50
  6. Step 6: Final answer
    x = 424,248.03

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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.