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Finding the Fourth Proportional to 379,840.16, 569,792.80 and 99,356.96

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Solution

The fourth proportional to 379,840.16, 569,792.80 and 99,356.96 is: 149,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,840.16 : 569,792.80 = 99,356.96 : x
  2. Step 2: Convert to fraction form
    379,840.16/569,792.80 = 99,356.96/x
  3. Step 3: Cross multiply
    379,840.16x = 569,792.80 × 99,356.96
  4. Step 4: Simplify right side
    379,840.16x = 56,612,880,437.89
  5. Step 5: Solve for x
    x = 56,612,880,437.89/379,840.16
  6. Step 6: Final answer
    x = 149,043.96

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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.