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Finding the Fourth Proportional to 413,000.69, 619,369.75 and 280,730.93

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Solution

The fourth proportional to 413,000.69, 619,369.75 and 280,730.93 is: 421,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,000.69 : 619,369.75 = 280,730.93 : x
  2. Step 2: Convert to fraction form
    413,000.69/619,369.75 = 280,730.93/x
  3. Step 3: Cross multiply
    413,000.69x = 619,369.75 × 280,730.93
  4. Step 4: Simplify right side
    413,000.69x = 173,876,245,931.37
  5. Step 5: Solve for x
    x = 173,876,245,931.37/413,000.69
  6. Step 6: Final answer
    x = 421,007.16

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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.