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Finding the Fourth Proportional to 219,047.40, 302,288.90 and 123,556

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Solution

The fourth proportional to 219,047.40, 302,288.90 and 123,556 is: 170,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,047.40 : 302,288.90 = 123,556 : x
  2. Step 2: Convert to fraction form
    219,047.40/302,288.90 = 123,556/x
  3. Step 3: Cross multiply
    219,047.40x = 302,288.90 × 123,556
  4. Step 4: Simplify right side
    219,047.40x = 37,349,607,328.40
  5. Step 5: Solve for x
    x = 37,349,607,328.40/219,047.40
  6. Step 6: Final answer
    x = 170,509.25

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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.