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Finding the Fourth Proportional to 342,937.34, 514,406.06 and 143,148.74

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Solution

The fourth proportional to 342,937.34, 514,406.06 and 143,148.74 is: 214,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,937.34 : 514,406.06 = 143,148.74 : x
  2. Step 2: Convert to fraction form
    342,937.34/514,406.06 = 143,148.74/x
  3. Step 3: Cross multiply
    342,937.34x = 514,406.06 × 143,148.74
  4. Step 4: Simplify right side
    342,937.34x = 73,636,579,337.36
  5. Step 5: Solve for x
    x = 73,636,579,337.36/342,937.34
  6. Step 6: Final answer
    x = 214,723.13

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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.