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Finding the Fourth Proportional to 288,969.96, 398,840.64 and 175,829.16

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Solution

The fourth proportional to 288,969.96, 398,840.64 and 175,829.16 is: 242,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,969.96 : 398,840.64 = 175,829.16 : x
  2. Step 2: Convert to fraction form
    288,969.96/398,840.64 = 175,829.16/x
  3. Step 3: Cross multiply
    288,969.96x = 398,840.64 × 175,829.16
  4. Step 4: Simplify right side
    288,969.96x = 70,127,814,705.06
  5. Step 5: Solve for x
    x = 70,127,814,705.06/288,969.96
  6. Step 6: Final answer
    x = 242,682.02

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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.