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Finding the Fourth Proportional to 473,689.40, 653,672.09 and 258,836.90

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Solution

The fourth proportional to 473,689.40, 653,672.09 and 258,836.90 is: 357,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,689.40 : 653,672.09 = 258,836.90 : x
  2. Step 2: Convert to fraction form
    473,689.40/653,672.09 = 258,836.90/x
  3. Step 3: Cross multiply
    473,689.40x = 653,672.09 × 258,836.90
  4. Step 4: Simplify right side
    473,689.40x = 169,194,454,770.85
  5. Step 5: Solve for x
    x = 169,194,454,770.85/473,689.40
  6. Step 6: Final answer
    x = 357,184.38

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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.