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Finding the Fourth Proportional to 291,612.99, 402,430.33 and 162,547.86

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Solution

The fourth proportional to 291,612.99, 402,430.33 and 162,547.86 is: 224,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,612.99 : 402,430.33 = 162,547.86 : x
  2. Step 2: Convert to fraction form
    291,612.99/402,430.33 = 162,547.86/x
  3. Step 3: Cross multiply
    291,612.99x = 402,430.33 × 162,547.86
  4. Step 4: Simplify right side
    291,612.99x = 65,414,189,738.56
  5. Step 5: Solve for x
    x = 65,414,189,738.56/291,612.99
  6. Step 6: Final answer
    x = 224,318.51

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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.