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Finding the Fourth Proportional to 648,498.60, 973,914.30 and 471,205.80

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Solution

The fourth proportional to 648,498.60, 973,914.30 and 471,205.80 is: 707,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,498.60 : 973,914.30 = 471,205.80 : x
  2. Step 2: Convert to fraction form
    648,498.60/973,914.30 = 471,205.80/x
  3. Step 3: Cross multiply
    648,498.60x = 973,914.30 × 471,205.80
  4. Step 4: Simplify right side
    648,498.60x = 458,914,066,862.94
  5. Step 5: Solve for x
    x = 458,914,066,862.94/648,498.60
  6. Step 6: Final answer
    x = 707,656.22

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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.