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Finding the Fourth Proportional to 384,435.92, 575,518.34 and 283,928.70

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Solution

The fourth proportional to 384,435.92, 575,518.34 and 283,928.70 is: 425,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,435.92 : 575,518.34 = 283,928.70 : x
  2. Step 2: Convert to fraction form
    384,435.92/575,518.34 = 283,928.70/x
  3. Step 3: Cross multiply
    384,435.92x = 575,518.34 × 283,928.70
  4. Step 4: Simplify right side
    384,435.92x = 163,406,174,102.36
  5. Step 5: Solve for x
    x = 163,406,174,102.36/384,435.92
  6. Step 6: Final answer
    x = 425,054.39

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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.