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Finding the Fourth Proportional to 656,342.86, 905,835.64 and 384,514.48

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Solution

The fourth proportional to 656,342.86, 905,835.64 and 384,514.48 is: 530,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,342.86 : 905,835.64 = 384,514.48 : x
  2. Step 2: Convert to fraction form
    656,342.86/905,835.64 = 384,514.48/x
  3. Step 3: Cross multiply
    656,342.86x = 905,835.64 × 384,514.48
  4. Step 4: Simplify right side
    656,342.86x = 348,306,920,080.07
  5. Step 5: Solve for x
    x = 348,306,920,080.07/656,342.86
  6. Step 6: Final answer
    x = 530,678.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.