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Finding the Fourth Proportional to 402,632.34, 555,643.38 and 218,883.30

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Solution

The fourth proportional to 402,632.34, 555,643.38 and 218,883.30 is: 302,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,632.34 : 555,643.38 = 218,883.30 : x
  2. Step 2: Convert to fraction form
    402,632.34/555,643.38 = 218,883.30/x
  3. Step 3: Cross multiply
    402,632.34x = 555,643.38 × 218,883.30
  4. Step 4: Simplify right side
    402,632.34x = 121,621,056,637.55
  5. Step 5: Solve for x
    x = 121,621,056,637.55/402,632.34
  6. Step 6: Final answer
    x = 302,064.80

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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.