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Finding the Fourth Proportional to 312,785.40, 469,106.12 and 186,461.30

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Solution

The fourth proportional to 312,785.40, 469,106.12 and 186,461.30 is: 279,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,785.40 : 469,106.12 = 186,461.30 : x
  2. Step 2: Convert to fraction form
    312,785.40/469,106.12 = 186,461.30/x
  3. Step 3: Cross multiply
    312,785.40x = 469,106.12 × 186,461.30
  4. Step 4: Simplify right side
    312,785.40x = 87,470,136,973.16
  5. Step 5: Solve for x
    x = 87,470,136,973.16/312,785.40
  6. Step 6: Final answer
    x = 279,649.04

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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.