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Finding the Fourth Proportional to 712,443.56, 983,164.74 and 385,750.98

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Solution

The fourth proportional to 712,443.56, 983,164.74 and 385,750.98 is: 532,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,443.56 : 983,164.74 = 385,750.98 : x
  2. Step 2: Convert to fraction form
    712,443.56/983,164.74 = 385,750.98/x
  3. Step 3: Cross multiply
    712,443.56x = 983,164.74 × 385,750.98
  4. Step 4: Simplify right side
    712,443.56x = 379,256,761,956.45
  5. Step 5: Solve for x
    x = 379,256,761,956.45/712,443.56
  6. Step 6: Final answer
    x = 532,332.36

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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.