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Finding the Fourth Proportional to 292,821.40, 439,232.10 and 71,205.40

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Solution

The fourth proportional to 292,821.40, 439,232.10 and 71,205.40 is: 106,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,821.40 : 439,232.10 = 71,205.40 : x
  2. Step 2: Convert to fraction form
    292,821.40/439,232.10 = 71,205.40/x
  3. Step 3: Cross multiply
    292,821.40x = 439,232.10 × 71,205.40
  4. Step 4: Simplify right side
    292,821.40x = 31,275,697,373.34
  5. Step 5: Solve for x
    x = 31,275,697,373.34/292,821.40
  6. Step 6: Final answer
    x = 106,808.10

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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.