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Finding the Fourth Proportional to 280,587.54, 420,881.30 and 103,017.72

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Solution

The fourth proportional to 280,587.54, 420,881.30 and 103,017.72 is: 154,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,587.54 : 420,881.30 = 103,017.72 : x
  2. Step 2: Convert to fraction form
    280,587.54/420,881.30 = 103,017.72/x
  3. Step 3: Cross multiply
    280,587.54x = 420,881.30 × 103,017.72
  4. Step 4: Simplify right side
    280,587.54x = 43,358,230,069.77
  5. Step 5: Solve for x
    x = 43,358,230,069.77/280,587.54
  6. Step 6: Final answer
    x = 154,526.57

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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.