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Finding the Fourth Proportional to 580,223.04, 869,634.72 and 299,587.20

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Solution

The fourth proportional to 580,223.04, 869,634.72 and 299,587.20 is: 449,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,223.04 : 869,634.72 = 299,587.20 : x
  2. Step 2: Convert to fraction form
    580,223.04/869,634.72 = 299,587.20/x
  3. Step 3: Cross multiply
    580,223.04x = 869,634.72 × 299,587.20
  4. Step 4: Simplify right side
    580,223.04x = 260,531,430,787.58
  5. Step 5: Solve for x
    x = 260,531,430,787.58/580,223.04
  6. Step 6: Final answer
    x = 449,019.45

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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.