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Finding the Fourth Proportional to 405,700.38, 556,934.78 and 348,239.95

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Solution

The fourth proportional to 405,700.38, 556,934.78 and 348,239.95 is: 478,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,700.38 : 556,934.78 = 348,239.95 : x
  2. Step 2: Convert to fraction form
    405,700.38/556,934.78 = 348,239.95/x
  3. Step 3: Cross multiply
    405,700.38x = 556,934.78 × 348,239.95
  4. Step 4: Simplify right side
    405,700.38x = 193,946,939,418.72
  5. Step 5: Solve for x
    x = 193,946,939,418.72/405,700.38
  6. Step 6: Final answer
    x = 478,054.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.