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Finding the Fourth Proportional to 405,599.69, 607,970.50 and 152,770.78

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Solution

The fourth proportional to 405,599.69, 607,970.50 and 152,770.78 is: 228,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,599.69 : 607,970.50 = 152,770.78 : x
  2. Step 2: Convert to fraction form
    405,599.69/607,970.50 = 152,770.78/x
  3. Step 3: Cross multiply
    405,599.69x = 607,970.50 × 152,770.78
  4. Step 4: Simplify right side
    405,599.69x = 92,880,125,600.14
  5. Step 5: Solve for x
    x = 92,880,125,600.14/405,599.69
  6. Step 6: Final answer
    x = 228,994.57

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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.