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Finding the Fourth Proportional to 540,768, 811,152 and 146,784

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Solution

The fourth proportional to 540,768, 811,152 and 146,784 is: 220,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,768 : 811,152 = 146,784 : x
  2. Step 2: Convert to fraction form
    540,768/811,152 = 146,784/x
  3. Step 3: Cross multiply
    540,768x = 811,152 × 146,784
  4. Step 4: Simplify right side
    540,768x = 119,064,135,168
  5. Step 5: Solve for x
    x = 119,064,135,168/540,768
  6. Step 6: Final answer
    x = 220,176

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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.