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Finding the Fourth Proportional to 547,001.82, 754,860.87 and 305,281.74

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Solution

The fourth proportional to 547,001.82, 754,860.87 and 305,281.74 is: 421,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,001.82 : 754,860.87 = 305,281.74 : x
  2. Step 2: Convert to fraction form
    547,001.82/754,860.87 = 305,281.74/x
  3. Step 3: Cross multiply
    547,001.82x = 754,860.87 × 305,281.74
  4. Step 4: Simplify right side
    547,001.82x = 230,445,239,851.51
  5. Step 5: Solve for x
    x = 230,445,239,851.51/547,001.82
  6. Step 6: Final answer
    x = 421,287.89

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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.