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Finding the Fourth Proportional to 761,770.80, 1,142,196.84 and 402,228

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Solution

The fourth proportional to 761,770.80, 1,142,196.84 and 402,228 is: 603,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,770.80 : 1,142,196.84 = 402,228 : x
  2. Step 2: Convert to fraction form
    761,770.80/1,142,196.84 = 402,228/x
  3. Step 3: Cross multiply
    761,770.80x = 1,142,196.84 × 402,228
  4. Step 4: Simplify right side
    761,770.80x = 459,423,550,559.52
  5. Step 5: Solve for x
    x = 459,423,550,559.52/761,770.80
  6. Step 6: Final answer
    x = 603,099.45

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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.