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Finding the Fourth Proportional to 551,543.50, 761,047.12 and 309,779.76

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Solution

The fourth proportional to 551,543.50, 761,047.12 and 309,779.76 is: 427,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,543.50 : 761,047.12 = 309,779.76 : x
  2. Step 2: Convert to fraction form
    551,543.50/761,047.12 = 309,779.76/x
  3. Step 3: Cross multiply
    551,543.50x = 761,047.12 × 309,779.76
  4. Step 4: Simplify right side
    551,543.50x = 235,756,993,407.84
  5. Step 5: Solve for x
    x = 235,756,993,407.84/551,543.50
  6. Step 6: Final answer
    x = 427,449.50

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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.