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Finding the Fourth Proportional to 495,467.89, 743,230.08 and 140,454

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Solution

The fourth proportional to 495,467.89, 743,230.08 and 140,454 is: 210,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,467.89 : 743,230.08 = 140,454 : x
  2. Step 2: Convert to fraction form
    495,467.89/743,230.08 = 140,454/x
  3. Step 3: Cross multiply
    495,467.89x = 743,230.08 × 140,454
  4. Step 4: Simplify right side
    495,467.89x = 104,389,637,656.32
  5. Step 5: Solve for x
    x = 104,389,637,656.32/495,467.89
  6. Step 6: Final answer
    x = 210,689.01

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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.