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Finding the Fourth Proportional to 309,777.58, 464,479.43 and 138,968.15

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Solution

The fourth proportional to 309,777.58, 464,479.43 and 138,968.15 is: 208,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,777.58 : 464,479.43 = 138,968.15 : x
  2. Step 2: Convert to fraction form
    309,777.58/464,479.43 = 138,968.15/x
  3. Step 3: Cross multiply
    309,777.58x = 464,479.43 × 138,968.15
  4. Step 4: Simplify right side
    309,777.58x = 64,547,847,566.51
  5. Step 5: Solve for x
    x = 64,547,847,566.51/309,777.58
  6. Step 6: Final answer
    x = 208,368.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.