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Finding the Fourth Proportional to 553,305.20, 829,763.40 and 253,929.20

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Solution

The fourth proportional to 553,305.20, 829,763.40 and 253,929.20 is: 380,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,305.20 : 829,763.40 = 253,929.20 : x
  2. Step 2: Convert to fraction form
    553,305.20/829,763.40 = 253,929.20/x
  3. Step 3: Cross multiply
    553,305.20x = 829,763.40 × 253,929.20
  4. Step 4: Simplify right side
    553,305.20x = 210,701,156,351.28
  5. Step 5: Solve for x
    x = 210,701,156,351.28/553,305.20
  6. Step 6: Final answer
    x = 380,804.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.