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Finding the Fourth Proportional to 309,199.84, 426,779.76 and 181,916.44

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Solution

The fourth proportional to 309,199.84, 426,779.76 and 181,916.44 is: 251,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,199.84 : 426,779.76 = 181,916.44 : x
  2. Step 2: Convert to fraction form
    309,199.84/426,779.76 = 181,916.44/x
  3. Step 3: Cross multiply
    309,199.84x = 426,779.76 × 181,916.44
  4. Step 4: Simplify right side
    309,199.84x = 77,638,254,603.25
  5. Step 5: Solve for x
    x = 77,638,254,603.25/309,199.84
  6. Step 6: Final answer
    x = 251,094.10

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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.