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Finding the Fourth Proportional to 310,533.76, 428,537.10 and 174,575.32

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Solution

The fourth proportional to 310,533.76, 428,537.10 and 174,575.32 is: 240,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,533.76 : 428,537.10 = 174,575.32 : x
  2. Step 2: Convert to fraction form
    310,533.76/428,537.10 = 174,575.32/x
  3. Step 3: Cross multiply
    310,533.76x = 428,537.10 × 174,575.32
  4. Step 4: Simplify right side
    310,533.76x = 74,812,001,364.37
  5. Step 5: Solve for x
    x = 74,812,001,364.37/310,533.76
  6. Step 6: Final answer
    x = 240,914.23

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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.