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Finding the Fourth Proportional to 1,580,352, 2,180,885.76 and 864,960

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Solution

The fourth proportional to 1,580,352, 2,180,885.76 and 864,960 is: 1,193,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,352 : 2,180,885.76 = 864,960 : x
  2. Step 2: Convert to fraction form
    1,580,352/2,180,885.76 = 864,960/x
  3. Step 3: Cross multiply
    1,580,352x = 2,180,885.76 × 864,960
  4. Step 4: Simplify right side
    1,580,352x = 1,886,378,946,969.60
  5. Step 5: Solve for x
    x = 1,886,378,946,969.60/1,580,352
  6. Step 6: Final answer
    x = 1,193,644.80

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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.