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Finding the Fourth Proportional to 704,590.89, 972,587.62 and 418,110.98

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Solution

The fourth proportional to 704,590.89, 972,587.62 and 418,110.98 is: 577,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,590.89 : 972,587.62 = 418,110.98 : x
  2. Step 2: Convert to fraction form
    704,590.89/972,587.62 = 418,110.98/x
  3. Step 3: Cross multiply
    704,590.89x = 972,587.62 × 418,110.98
  4. Step 4: Simplify right side
    704,590.89x = 406,649,562,934.07
  5. Step 5: Solve for x
    x = 406,649,562,934.07/704,590.89
  6. Step 6: Final answer
    x = 577,142.81

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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.