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Finding the Fourth Proportional to 977,145, 1,348,302.60 and 614,311.80

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Solution

The fourth proportional to 977,145, 1,348,302.60 and 614,311.80 is: 847,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,145 : 1,348,302.60 = 614,311.80 : x
  2. Step 2: Convert to fraction form
    977,145/1,348,302.60 = 614,311.80/x
  3. Step 3: Cross multiply
    977,145x = 1,348,302.60 × 614,311.80
  4. Step 4: Simplify right side
    977,145x = 828,278,197,150.68
  5. Step 5: Solve for x
    x = 828,278,197,150.68/977,145
  6. Step 6: Final answer
    x = 847,651.27

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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.