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Finding the Fourth Proportional to 385,642.09, 578,368.74 and 161,004.38

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Solution

The fourth proportional to 385,642.09, 578,368.74 and 161,004.38 is: 241,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,642.09 : 578,368.74 = 161,004.38 : x
  2. Step 2: Convert to fraction form
    385,642.09/578,368.74 = 161,004.38/x
  3. Step 3: Cross multiply
    385,642.09x = 578,368.74 × 161,004.38
  4. Step 4: Simplify right side
    385,642.09x = 93,119,901,841.00
  5. Step 5: Solve for x
    x = 93,119,901,841.00/385,642.09
  6. Step 6: Final answer
    x = 241,467.17

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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.