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Finding the Fourth Proportional to 413,749.62, 620,673.03 and 147,547.98

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Solution

The fourth proportional to 413,749.62, 620,673.03 and 147,547.98 is: 221,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,749.62 : 620,673.03 = 147,547.98 : x
  2. Step 2: Convert to fraction form
    413,749.62/620,673.03 = 147,547.98/x
  3. Step 3: Cross multiply
    413,749.62x = 620,673.03 × 147,547.98
  4. Step 4: Simplify right side
    413,749.62x = 91,579,051,816.98
  5. Step 5: Solve for x
    x = 91,579,051,816.98/413,749.62
  6. Step 6: Final answer
    x = 221,339.30

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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.