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Finding the Fourth Proportional to 553,502.20, 830,447.70 and 238,055.80

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Solution

The fourth proportional to 553,502.20, 830,447.70 and 238,055.80 is: 357,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,502.20 : 830,447.70 = 238,055.80 : x
  2. Step 2: Convert to fraction form
    553,502.20/830,447.70 = 238,055.80/x
  3. Step 3: Cross multiply
    553,502.20x = 830,447.70 × 238,055.80
  4. Step 4: Simplify right side
    553,502.20x = 197,692,891,581.66
  5. Step 5: Solve for x
    x = 197,692,891,581.66/553,502.20
  6. Step 6: Final answer
    x = 357,167.31

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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.