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Finding the Fourth Proportional to 551,864.52, 761,590.98 and 310,193.64

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Solution

The fourth proportional to 551,864.52, 761,590.98 and 310,193.64 is: 428,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,864.52 : 761,590.98 = 310,193.64 : x
  2. Step 2: Convert to fraction form
    551,864.52/761,590.98 = 310,193.64/x
  3. Step 3: Cross multiply
    551,864.52x = 761,590.98 × 310,193.64
  4. Step 4: Simplify right side
    551,864.52x = 236,240,678,277.37
  5. Step 5: Solve for x
    x = 236,240,678,277.37/551,864.52
  6. Step 6: Final answer
    x = 428,077.31

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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.