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Finding the Fourth Proportional to 727,809.80, 1,091,714.70 and 412,881.80

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Solution

The fourth proportional to 727,809.80, 1,091,714.70 and 412,881.80 is: 619,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,809.80 : 1,091,714.70 = 412,881.80 : x
  2. Step 2: Convert to fraction form
    727,809.80/1,091,714.70 = 412,881.80/x
  3. Step 3: Cross multiply
    727,809.80x = 1,091,714.70 × 412,881.80
  4. Step 4: Simplify right side
    727,809.80x = 450,749,130,422.46
  5. Step 5: Solve for x
    x = 450,749,130,422.46/727,809.80
  6. Step 6: Final answer
    x = 619,322.70

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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.