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Finding the Fourth Proportional to 653,139.84, 980,072.64 and 353,616

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Solution

The fourth proportional to 653,139.84, 980,072.64 and 353,616 is: 530,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,139.84 : 980,072.64 = 353,616 : x
  2. Step 2: Convert to fraction form
    653,139.84/980,072.64 = 353,616/x
  3. Step 3: Cross multiply
    653,139.84x = 980,072.64 × 353,616
  4. Step 4: Simplify right side
    653,139.84x = 346,569,366,666.24
  5. Step 5: Solve for x
    x = 346,569,366,666.24/653,139.84
  6. Step 6: Final answer
    x = 530,620.47

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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.