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Finding the Fourth Proportional to 587,588, 810,871.44 and 319,316

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Solution

The fourth proportional to 587,588, 810,871.44 and 319,316 is: 440,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,588 : 810,871.44 = 319,316 : x
  2. Step 2: Convert to fraction form
    587,588/810,871.44 = 319,316/x
  3. Step 3: Cross multiply
    587,588x = 810,871.44 × 319,316
  4. Step 4: Simplify right side
    587,588x = 258,924,224,735.04
  5. Step 5: Solve for x
    x = 258,924,224,735.04/587,588
  6. Step 6: Final answer
    x = 440,656.08

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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.