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Finding the Fourth Proportional to 553,678.30, 775,674.50 and 553,678.30

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Solution

The fourth proportional to 553,678.30, 775,674.50 and 553,678.30 is: 775,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,678.30 : 775,674.50 = 553,678.30 : x
  2. Step 2: Convert to fraction form
    553,678.30/775,674.50 = 553,678.30/x
  3. Step 3: Cross multiply
    553,678.30x = 775,674.50 × 553,678.30
  4. Step 4: Simplify right side
    553,678.30x = 429,474,138,513.35
  5. Step 5: Solve for x
    x = 429,474,138,513.35/553,678.30
  6. Step 6: Final answer
    x = 775,674.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.