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Finding the Fourth Proportional to 465,550.47, 642,534.53 and 435,159

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Solution

The fourth proportional to 465,550.47, 642,534.53 and 435,159 is: 600,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,550.47 : 642,534.53 = 435,159 : x
  2. Step 2: Convert to fraction form
    465,550.47/642,534.53 = 435,159/x
  3. Step 3: Cross multiply
    465,550.47x = 642,534.53 × 435,159
  4. Step 4: Simplify right side
    465,550.47x = 279,604,681,364.48
  5. Step 5: Solve for x
    x = 279,604,681,364.48/465,550.47
  6. Step 6: Final answer
    x = 600,589.41

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1.5x scale

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.