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Finding the Fourth Proportional to 309,875.80, 464,813.70 and 291,213.40

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Solution

The fourth proportional to 309,875.80, 464,813.70 and 291,213.40 is: 436,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,875.80 : 464,813.70 = 291,213.40 : x
  2. Step 2: Convert to fraction form
    309,875.80/464,813.70 = 291,213.40/x
  3. Step 3: Cross multiply
    309,875.80x = 464,813.70 × 291,213.40
  4. Step 4: Simplify right side
    309,875.80x = 135,359,977,943.58
  5. Step 5: Solve for x
    x = 135,359,977,943.58/309,875.80
  6. Step 6: Final answer
    x = 436,820.10

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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.