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Finding the Fourth Proportional to 399,257.58, 598,280.40 and 292,712.48

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Solution

The fourth proportional to 399,257.58, 598,280.40 and 292,712.48 is: 438,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,257.58 : 598,280.40 = 292,712.48 : x
  2. Step 2: Convert to fraction form
    399,257.58/598,280.40 = 292,712.48/x
  3. Step 3: Cross multiply
    399,257.58x = 598,280.40 × 292,712.48
  4. Step 4: Simplify right side
    399,257.58x = 175,124,136,627.99
  5. Step 5: Solve for x
    x = 175,124,136,627.99/399,257.58
  6. Step 6: Final answer
    x = 438,624.45

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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.