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Finding the Fourth Proportional to 583,272, 804,915.36 and 315,000

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Solution

The fourth proportional to 583,272, 804,915.36 and 315,000 is: 434,700

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,272 : 804,915.36 = 315,000 : x
  2. Step 2: Convert to fraction form
    583,272/804,915.36 = 315,000/x
  3. Step 3: Cross multiply
    583,272x = 804,915.36 × 315,000
  4. Step 4: Simplify right side
    583,272x = 253,548,338,400
  5. Step 5: Solve for x
    x = 253,548,338,400/583,272
  6. Step 6: Final answer
    x = 434,700

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.