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Finding the Fourth Proportional to 490,798.10, 736,206.50 and 153,831.35

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Solution

The fourth proportional to 490,798.10, 736,206.50 and 153,831.35 is: 230,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,798.10 : 736,206.50 = 153,831.35 : x
  2. Step 2: Convert to fraction form
    490,798.10/736,206.50 = 153,831.35/x
  3. Step 3: Cross multiply
    490,798.10x = 736,206.50 × 153,831.35
  4. Step 4: Simplify right side
    490,798.10x = 113,251,641,998.87
  5. Step 5: Solve for x
    x = 113,251,641,998.87/490,798.10
  6. Step 6: Final answer
    x = 230,749.96

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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.