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Finding the Fourth Proportional to 865,647.80, 1,296,503.40 and 546,783.20

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Solution

The fourth proportional to 865,647.80, 1,296,503.40 and 546,783.20 is: 818,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,647.80 : 1,296,503.40 = 546,783.20 : x
  2. Step 2: Convert to fraction form
    865,647.80/1,296,503.40 = 546,783.20/x
  3. Step 3: Cross multiply
    865,647.80x = 1,296,503.40 × 546,783.20
  4. Step 4: Simplify right side
    865,647.80x = 708,906,277,862.88
  5. Step 5: Solve for x
    x = 708,906,277,862.88/865,647.80
  6. Step 6: Final answer
    x = 818,931.53

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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.