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Finding the Fourth Proportional to 653,709.90, 980,913.15 and 254,363.70

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Solution

The fourth proportional to 653,709.90, 980,913.15 and 254,363.70 is: 381,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,709.90 : 980,913.15 = 254,363.70 : x
  2. Step 2: Convert to fraction form
    653,709.90/980,913.15 = 254,363.70/x
  3. Step 3: Cross multiply
    653,709.90x = 980,913.15 × 254,363.70
  4. Step 4: Simplify right side
    653,709.90x = 249,508,698,212.66
  5. Step 5: Solve for x
    x = 249,508,698,212.66/653,709.90
  6. Step 6: Final answer
    x = 381,681.08

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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.