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Finding the Fourth Proportional to 651,986.96, 900,178.80 and 407,344.12

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Solution

The fourth proportional to 651,986.96, 900,178.80 and 407,344.12 is: 562,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,986.96 : 900,178.80 = 407,344.12 : x
  2. Step 2: Convert to fraction form
    651,986.96/900,178.80 = 407,344.12/x
  3. Step 3: Cross multiply
    651,986.96x = 900,178.80 × 407,344.12
  4. Step 4: Simplify right side
    651,986.96x = 366,682,541,128.66
  5. Step 5: Solve for x
    x = 366,682,541,128.66/651,986.96
  6. Step 6: Final answer
    x = 562,407.78

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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.