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Finding the Fourth Proportional to 385,368.78, 578,108.56 and 119,150.06

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Solution

The fourth proportional to 385,368.78, 578,108.56 and 119,150.06 is: 178,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,368.78 : 578,108.56 = 119,150.06 : x
  2. Step 2: Convert to fraction form
    385,368.78/578,108.56 = 119,150.06/x
  3. Step 3: Cross multiply
    385,368.78x = 578,108.56 × 119,150.06
  4. Step 4: Simplify right side
    385,368.78x = 68,881,669,610.51
  5. Step 5: Solve for x
    x = 68,881,669,610.51/385,368.78
  6. Step 6: Final answer
    x = 178,742.22

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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.