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Finding the Fourth Proportional to 298,649.64, 447,828.48 and 130,312.20

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Solution

The fourth proportional to 298,649.64, 447,828.48 and 130,312.20 is: 195,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,649.64 : 447,828.48 = 130,312.20 : x
  2. Step 2: Convert to fraction form
    298,649.64/447,828.48 = 130,312.20/x
  3. Step 3: Cross multiply
    298,649.64x = 447,828.48 × 130,312.20
  4. Step 4: Simplify right side
    298,649.64x = 58,357,514,451.46
  5. Step 5: Solve for x
    x = 58,357,514,451.46/298,649.64
  6. Step 6: Final answer
    x = 195,404.60

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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.