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Finding the Fourth Proportional to 659,701.85, 909,825.95 and 507,109.73

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Solution

The fourth proportional to 659,701.85, 909,825.95 and 507,109.73 is: 699,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,701.85 : 909,825.95 = 507,109.73 : x
  2. Step 2: Convert to fraction form
    659,701.85/909,825.95 = 507,109.73/x
  3. Step 3: Cross multiply
    659,701.85x = 909,825.95 × 507,109.73
  4. Step 4: Simplify right side
    659,701.85x = 461,381,588,570.14
  5. Step 5: Solve for x
    x = 461,381,588,570.14/659,701.85
  6. Step 6: Final answer
    x = 699,378.96

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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.