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Finding the Fourth Proportional to 659,457.40, 988,162.98 and 457,447.96

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Solution

The fourth proportional to 659,457.40, 988,162.98 and 457,447.96 is: 685,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,457.40 : 988,162.98 = 457,447.96 : x
  2. Step 2: Convert to fraction form
    659,457.40/988,162.98 = 457,447.96/x
  3. Step 3: Cross multiply
    659,457.40x = 988,162.98 × 457,447.96
  4. Step 4: Simplify right side
    659,457.40x = 452,033,139,348.52
  5. Step 5: Solve for x
    x = 452,033,139,348.52/659,457.40
  6. Step 6: Final answer
    x = 685,462.23

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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.