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Finding the Fourth Proportional to 393,088.80, 542,462.64 and 223,323.20

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Solution

The fourth proportional to 393,088.80, 542,462.64 and 223,323.20 is: 308,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,088.80 : 542,462.64 = 223,323.20 : x
  2. Step 2: Convert to fraction form
    393,088.80/542,462.64 = 223,323.20/x
  3. Step 3: Cross multiply
    393,088.80x = 542,462.64 × 223,323.20
  4. Step 4: Simplify right side
    393,088.80x = 121,144,492,645.25
  5. Step 5: Solve for x
    x = 121,144,492,645.25/393,088.80
  6. Step 6: Final answer
    x = 308,186.07

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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.