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Finding the Fourth Proportional to 653,478.34, 901,694.28 and 408,434.23

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Solution

The fourth proportional to 653,478.34, 901,694.28 and 408,434.23 is: 563,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,478.34 : 901,694.28 = 408,434.23 : x
  2. Step 2: Convert to fraction form
    653,478.34/901,694.28 = 408,434.23/x
  3. Step 3: Cross multiply
    653,478.34x = 901,694.28 × 408,434.23
  4. Step 4: Simplify right side
    653,478.34x = 368,282,808,947.20
  5. Step 5: Solve for x
    x = 368,282,808,947.20/653,478.34
  6. Step 6: Final answer
    x = 563,573.09

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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.