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Finding the Fourth Proportional to 342,805.53, 514,539.99 and 165,437.40

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Solution

The fourth proportional to 342,805.53, 514,539.99 and 165,437.40 is: 248,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,805.53 : 514,539.99 = 165,437.40 : x
  2. Step 2: Convert to fraction form
    342,805.53/514,539.99 = 165,437.40/x
  3. Step 3: Cross multiply
    342,805.53x = 514,539.99 × 165,437.40
  4. Step 4: Simplify right side
    342,805.53x = 85,124,158,141.63
  5. Step 5: Solve for x
    x = 85,124,158,141.63/342,805.53
  6. Step 6: Final answer
    x = 248,316.18

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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.