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Finding the Fourth Proportional to 288,513.90, 398,143.35 and 175,373.10

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Solution

The fourth proportional to 288,513.90, 398,143.35 and 175,373.10 is: 242,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,513.90 : 398,143.35 = 175,373.10 : x
  2. Step 2: Convert to fraction form
    288,513.90/398,143.35 = 175,373.10/x
  3. Step 3: Cross multiply
    288,513.90x = 398,143.35 × 175,373.10
  4. Step 4: Simplify right side
    288,513.90x = 69,823,633,533.89
  5. Step 5: Solve for x
    x = 69,823,633,533.89/288,513.90
  6. Step 6: Final answer
    x = 242,011.33

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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.