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Finding the Fourth Proportional to 666,186.96, 919,638.24 and 424,794.00

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Solution

The fourth proportional to 666,186.96, 919,638.24 and 424,794.00 is: 586,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,186.96 : 919,638.24 = 424,794.00 : x
  2. Step 2: Convert to fraction form
    666,186.96/919,638.24 = 424,794.00/x
  3. Step 3: Cross multiply
    666,186.96x = 919,638.24 × 424,794.00
  4. Step 4: Simplify right side
    666,186.96x = 390,656,807,759.67
  5. Step 5: Solve for x
    x = 390,656,807,759.67/666,186.96
  6. Step 6: Final answer
    x = 586,407.16

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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.