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Finding the Fourth Proportional to 472,889.58, 709,655.67 and 192,457.86

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Solution

The fourth proportional to 472,889.58, 709,655.67 and 192,457.86 is: 288,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,889.58 : 709,655.67 = 192,457.86 : x
  2. Step 2: Convert to fraction form
    472,889.58/709,655.67 = 192,457.86/x
  3. Step 3: Cross multiply
    472,889.58x = 709,655.67 × 192,457.86
  4. Step 4: Simplify right side
    472,889.58x = 136,578,811,585.07
  5. Step 5: Solve for x
    x = 136,578,811,585.07/472,889.58
  6. Step 6: Final answer
    x = 288,817.55

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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.