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Finding the Fourth Proportional to 497,019.76, 745,749.06 and 385,667.44

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Solution

The fourth proportional to 497,019.76, 745,749.06 and 385,667.44 is: 578,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,019.76 : 745,749.06 = 385,667.44 : x
  2. Step 2: Convert to fraction form
    497,019.76/745,749.06 = 385,667.44/x
  3. Step 3: Cross multiply
    497,019.76x = 745,749.06 × 385,667.44
  4. Step 4: Simplify right side
    497,019.76x = 287,611,130,852.61
  5. Step 5: Solve for x
    x = 287,611,130,852.61/497,019.76
  6. Step 6: Final answer
    x = 578,671.42

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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.