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Finding the Fourth Proportional to 613,909.12, 847,325.28 and 412,588.48

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Solution

The fourth proportional to 613,909.12, 847,325.28 and 412,588.48 is: 569,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,909.12 : 847,325.28 = 412,588.48 : x
  2. Step 2: Convert to fraction form
    613,909.12/847,325.28 = 412,588.48/x
  3. Step 3: Cross multiply
    613,909.12x = 847,325.28 × 412,588.48
  4. Step 4: Simplify right side
    613,909.12x = 349,596,649,340.77
  5. Step 5: Solve for x
    x = 349,596,649,340.77/613,909.12
  6. Step 6: Final answer
    x = 569,459.94

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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.