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Finding the Fourth Proportional to 307,260, 424,018.80 and 165,948

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Solution

The fourth proportional to 307,260, 424,018.80 and 165,948 is: 229,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,260 : 424,018.80 = 165,948 : x
  2. Step 2: Convert to fraction form
    307,260/424,018.80 = 165,948/x
  3. Step 3: Cross multiply
    307,260x = 424,018.80 × 165,948
  4. Step 4: Simplify right side
    307,260x = 70,365,071,822.40
  5. Step 5: Solve for x
    x = 70,365,071,822.40/307,260
  6. Step 6: Final answer
    x = 229,008.24

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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.