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Finding the Fourth Proportional to 257,639.60, 386,459.40 and 173,658.80

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Solution

The fourth proportional to 257,639.60, 386,459.40 and 173,658.80 is: 260,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,639.60 : 386,459.40 = 173,658.80 : x
  2. Step 2: Convert to fraction form
    257,639.60/386,459.40 = 173,658.80/x
  3. Step 3: Cross multiply
    257,639.60x = 386,459.40 × 173,658.80
  4. Step 4: Simplify right side
    257,639.60x = 67,112,075,652.72
  5. Step 5: Solve for x
    x = 67,112,075,652.72/257,639.60
  6. Step 6: Final answer
    x = 260,488.20

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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.