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Finding the Fourth Proportional to 464,905.20, 697,357.80 and 405,856.20

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Solution

The fourth proportional to 464,905.20, 697,357.80 and 405,856.20 is: 608,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,905.20 : 697,357.80 = 405,856.20 : x
  2. Step 2: Convert to fraction form
    464,905.20/697,357.80 = 405,856.20/x
  3. Step 3: Cross multiply
    464,905.20x = 697,357.80 × 405,856.20
  4. Step 4: Simplify right side
    464,905.20x = 283,026,986,748.36
  5. Step 5: Solve for x
    x = 283,026,986,748.36/464,905.20
  6. Step 6: Final answer
    x = 608,784.30

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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.