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Finding the Fourth Proportional to 553,967.40, 830,934.70 and 229,722.78

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Solution

The fourth proportional to 553,967.40, 830,934.70 and 229,722.78 is: 344,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,967.40 : 830,934.70 = 229,722.78 : x
  2. Step 2: Convert to fraction form
    553,967.40/830,934.70 = 229,722.78/x
  3. Step 3: Cross multiply
    553,967.40x = 830,934.70 × 229,722.78
  4. Step 4: Simplify right side
    553,967.40x = 190,884,633,116.36
  5. Step 5: Solve for x
    x = 190,884,633,116.36/553,967.40
  6. Step 6: Final answer
    x = 344,577.37

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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.