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Finding the Fourth Proportional to 710,031.12, 979,969.60 and 419,630.80

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Solution

The fourth proportional to 710,031.12, 979,969.60 and 419,630.80 is: 579,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,031.12 : 979,969.60 = 419,630.80 : x
  2. Step 2: Convert to fraction form
    710,031.12/979,969.60 = 419,630.80/x
  3. Step 3: Cross multiply
    710,031.12x = 979,969.60 × 419,630.80
  4. Step 4: Simplify right side
    710,031.12x = 411,225,427,223.68
  5. Step 5: Solve for x
    x = 411,225,427,223.68/710,031.12
  6. Step 6: Final answer
    x = 579,165.36

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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.