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Finding the Fourth Proportional to 280,808.10, 387,516.15 and 153,485.82

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Solution

The fourth proportional to 280,808.10, 387,516.15 and 153,485.82 is: 211,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,808.10 : 387,516.15 = 153,485.82 : x
  2. Step 2: Convert to fraction form
    280,808.10/387,516.15 = 153,485.82/x
  3. Step 3: Cross multiply
    280,808.10x = 387,516.15 × 153,485.82
  4. Step 4: Simplify right side
    280,808.10x = 59,478,234,045.99
  5. Step 5: Solve for x
    x = 59,478,234,045.99/280,808.10
  6. Step 6: Final answer
    x = 211,810.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.