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Finding the Fourth Proportional to 471,658.86, 651,108.60 and 278,005.50

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Solution

The fourth proportional to 471,658.86, 651,108.60 and 278,005.50 is: 383,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,658.86 : 651,108.60 = 278,005.50 : x
  2. Step 2: Convert to fraction form
    471,658.86/651,108.60 = 278,005.50/x
  3. Step 3: Cross multiply
    471,658.86x = 651,108.60 × 278,005.50
  4. Step 4: Simplify right side
    471,658.86x = 181,011,771,897.30
  5. Step 5: Solve for x
    x = 181,011,771,897.30/471,658.86
  6. Step 6: Final answer
    x = 383,776.89

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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.