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Finding the Fourth Proportional to 402,327.54, 554,220.53 and 344,782.10

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Solution

The fourth proportional to 402,327.54, 554,220.53 and 344,782.10 is: 474,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,327.54 : 554,220.53 = 344,782.10 : x
  2. Step 2: Convert to fraction form
    402,327.54/554,220.53 = 344,782.10/x
  3. Step 3: Cross multiply
    402,327.54x = 554,220.53 × 344,782.10
  4. Step 4: Simplify right side
    402,327.54x = 191,085,319,151.09
  5. Step 5: Solve for x
    x = 191,085,319,151.09/402,327.54
  6. Step 6: Final answer
    x = 474,949.64

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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.