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Finding the Fourth Proportional to 553,284.10, 828,595.67 and 315,907.30

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Solution

The fourth proportional to 553,284.10, 828,595.67 and 315,907.30 is: 473,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,284.10 : 828,595.67 = 315,907.30 : x
  2. Step 2: Convert to fraction form
    553,284.10/828,595.67 = 315,907.30/x
  3. Step 3: Cross multiply
    553,284.10x = 828,595.67 × 315,907.30
  4. Step 4: Simplify right side
    553,284.10x = 261,759,420,901.39
  5. Step 5: Solve for x
    x = 261,759,420,901.39/553,284.10
  6. Step 6: Final answer
    x = 473,101.29

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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.