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Finding the Fourth Proportional to 306,689.56, 459,878.82 and 140,335

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Solution

The fourth proportional to 306,689.56, 459,878.82 and 140,335 is: 210,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,689.56 : 459,878.82 = 140,335 : x
  2. Step 2: Convert to fraction form
    306,689.56/459,878.82 = 140,335/x
  3. Step 3: Cross multiply
    306,689.56x = 459,878.82 × 140,335
  4. Step 4: Simplify right side
    306,689.56x = 64,537,094,204.70
  5. Step 5: Solve for x
    x = 64,537,094,204.70/306,689.56
  6. Step 6: Final answer
    x = 210,431.34

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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.