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Finding the Fourth Proportional to 431,752.95, 648,293.74 and 384,809.00

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Solution

The fourth proportional to 431,752.95, 648,293.74 and 384,809.00 is: 577,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,752.95 : 648,293.74 = 384,809.00 : x
  2. Step 2: Convert to fraction form
    431,752.95/648,293.74 = 384,809.00/x
  3. Step 3: Cross multiply
    431,752.95x = 648,293.74 × 384,809.00
  4. Step 4: Simplify right side
    431,752.95x = 249,469,261,592.17
  5. Step 5: Solve for x
    x = 249,469,261,592.17/431,752.95
  6. Step 6: Final answer
    x = 577,805.58

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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.