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Finding the Fourth Proportional to 665,005.80, 997,314.30 and 238,492.20

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Solution

The fourth proportional to 665,005.80, 997,314.30 and 238,492.20 is: 357,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,005.80 : 997,314.30 = 238,492.20 : x
  2. Step 2: Convert to fraction form
    665,005.80/997,314.30 = 238,492.20/x
  3. Step 3: Cross multiply
    665,005.80x = 997,314.30 × 238,492.20
  4. Step 4: Simplify right side
    665,005.80x = 237,851,681,498.46
  5. Step 5: Solve for x
    x = 237,851,681,498.46/665,005.80
  6. Step 6: Final answer
    x = 357,668.58

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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.