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Finding the Fourth Proportional to 309,688.62, 464,533.53 and 85,051.98

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Solution

The fourth proportional to 309,688.62, 464,533.53 and 85,051.98 is: 127,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,688.62 : 464,533.53 = 85,051.98 : x
  2. Step 2: Convert to fraction form
    309,688.62/464,533.53 = 85,051.98/x
  3. Step 3: Cross multiply
    309,688.62x = 464,533.53 × 85,051.98
  4. Step 4: Simplify right side
    309,688.62x = 39,509,496,502.89
  5. Step 5: Solve for x
    x = 39,509,496,502.89/309,688.62
  6. Step 6: Final answer
    x = 127,578.13

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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.