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Finding the Fourth Proportional to 379,027.71, 522,373.16 and 314,155.31

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Solution

The fourth proportional to 379,027.71, 522,373.16 and 314,155.31 is: 432,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,027.71 : 522,373.16 = 314,155.31 : x
  2. Step 2: Convert to fraction form
    379,027.71/522,373.16 = 314,155.31/x
  3. Step 3: Cross multiply
    379,027.71x = 522,373.16 × 314,155.31
  4. Step 4: Simplify right side
    379,027.71x = 164,106,300,189.00
  5. Step 5: Solve for x
    x = 164,106,300,189.00/379,027.71
  6. Step 6: Final answer
    x = 432,966.50

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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.