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Finding the Fourth Proportional to 291,512.64, 402,308.36 and 162,459.80

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Solution

The fourth proportional to 291,512.64, 402,308.36 and 162,459.80 is: 224,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,512.64 : 402,308.36 = 162,459.80 : x
  2. Step 2: Convert to fraction form
    291,512.64/402,308.36 = 162,459.80/x
  3. Step 3: Cross multiply
    291,512.64x = 402,308.36 × 162,459.80
  4. Step 4: Simplify right side
    291,512.64x = 65,358,935,703.93
  5. Step 5: Solve for x
    x = 65,358,935,703.93/291,512.64
  6. Step 6: Final answer
    x = 224,206.18

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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.