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Finding the Fourth Proportional to 666,738, 919,916.64 and 380,153.52

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Solution

The fourth proportional to 666,738, 919,916.64 and 380,153.52 is: 524,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,738 : 919,916.64 = 380,153.52 : x
  2. Step 2: Convert to fraction form
    666,738/919,916.64 = 380,153.52/x
  3. Step 3: Cross multiply
    666,738x = 919,916.64 × 380,153.52
  4. Step 4: Simplify right side
    666,738x = 349,709,548,802.57
  5. Step 5: Solve for x
    x = 349,709,548,802.57/666,738
  6. Step 6: Final answer
    x = 524,508.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.