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Finding the Fourth Proportional to 304,931, 420,804.78 and 185,699

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Solution

The fourth proportional to 304,931, 420,804.78 and 185,699 is: 256,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,931 : 420,804.78 = 185,699 : x
  2. Step 2: Convert to fraction form
    304,931/420,804.78 = 185,699/x
  3. Step 3: Cross multiply
    304,931x = 420,804.78 × 185,699
  4. Step 4: Simplify right side
    304,931x = 78,143,026,841.22
  5. Step 5: Solve for x
    x = 78,143,026,841.22/304,931
  6. Step 6: Final answer
    x = 256,264.62

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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.