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Finding the Fourth Proportional to 292,806.90, 439,866.45 and 280,851.30

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Solution

The fourth proportional to 292,806.90, 439,866.45 and 280,851.30 is: 421,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,806.90 : 439,866.45 = 280,851.30 : x
  2. Step 2: Convert to fraction form
    292,806.90/439,866.45 = 280,851.30/x
  3. Step 3: Cross multiply
    292,806.90x = 439,866.45 × 280,851.30
  4. Step 4: Simplify right side
    292,806.90x = 123,537,064,308.89
  5. Step 5: Solve for x
    x = 123,537,064,308.89/292,806.90
  6. Step 6: Final answer
    x = 421,906.26

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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.