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Finding the Fourth Proportional to 340,222.34, 510,407.32 and 103,558.87

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Solution

The fourth proportional to 340,222.34, 510,407.32 and 103,558.87 is: 155,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,222.34 : 510,407.32 = 103,558.87 : x
  2. Step 2: Convert to fraction form
    340,222.34/510,407.32 = 103,558.87/x
  3. Step 3: Cross multiply
    340,222.34x = 510,407.32 × 103,558.87
  4. Step 4: Simplify right side
    340,222.34x = 52,857,205,298.93
  5. Step 5: Solve for x
    x = 52,857,205,298.93/340,222.34
  6. Step 6: Final answer
    x = 155,360.77

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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.