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Finding the Fourth Proportional to 653,479.34, 901,695.66 and 408,435.23

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Solution

The fourth proportional to 653,479.34, 901,695.66 and 408,435.23 is: 563,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,479.34 : 901,695.66 = 408,435.23 : x
  2. Step 2: Convert to fraction form
    653,479.34/901,695.66 = 408,435.23/x
  3. Step 3: Cross multiply
    653,479.34x = 901,695.66 × 408,435.23
  4. Step 4: Simplify right side
    653,479.34x = 368,284,274,282.10
  5. Step 5: Solve for x
    x = 368,284,274,282.10/653,479.34
  6. Step 6: Final answer
    x = 563,574.47

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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.