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Finding the Fourth Proportional to 470,653.50, 649,502.79 and 258,685.50

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Solution

The fourth proportional to 470,653.50, 649,502.79 and 258,685.50 is: 356,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,653.50 : 649,502.79 = 258,685.50 : x
  2. Step 2: Convert to fraction form
    470,653.50/649,502.79 = 258,685.50/x
  3. Step 3: Cross multiply
    470,653.50x = 649,502.79 × 258,685.50
  4. Step 4: Simplify right side
    470,653.50x = 168,016,953,982.55
  5. Step 5: Solve for x
    x = 168,016,953,982.55/470,653.50
  6. Step 6: Final answer
    x = 356,986.52

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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.