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Finding the Fourth Proportional to 653,913.60, 980,141.40 and 254,421.60

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Solution

The fourth proportional to 653,913.60, 980,141.40 and 254,421.60 is: 381,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,913.60 : 980,141.40 = 254,421.60 : x
  2. Step 2: Convert to fraction form
    653,913.60/980,141.40 = 254,421.60/x
  3. Step 3: Cross multiply
    653,913.60x = 980,141.40 × 254,421.60
  4. Step 4: Simplify right side
    653,913.60x = 249,369,143,214.24
  5. Step 5: Solve for x
    x = 249,369,143,214.24/653,913.60
  6. Step 6: Final answer
    x = 381,348.76

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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.