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Finding the Fourth Proportional to 971,722.77, 1,456,214.03 and 458,840.69

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Solution

The fourth proportional to 971,722.77, 1,456,214.03 and 458,840.69 is: 687,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,722.77 : 1,456,214.03 = 458,840.69 : x
  2. Step 2: Convert to fraction form
    971,722.77/1,456,214.03 = 458,840.69/x
  3. Step 3: Cross multiply
    971,722.77x = 1,456,214.03 × 458,840.69
  4. Step 4: Simplify right side
    971,722.77x = 668,170,250,312.88
  5. Step 5: Solve for x
    x = 668,170,250,312.88/971,722.77
  6. Step 6: Final answer
    x = 687,614.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.