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Finding the Fourth Proportional to 280,407.96, 420,612.88 and 70,045.92

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Solution

The fourth proportional to 280,407.96, 420,612.88 and 70,045.92 is: 105,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,407.96 : 420,612.88 = 70,045.92 : x
  2. Step 2: Convert to fraction form
    280,407.96/420,612.88 = 70,045.92/x
  3. Step 3: Cross multiply
    280,407.96x = 420,612.88 × 70,045.92
  4. Step 4: Simplify right side
    280,407.96x = 29,462,216,143.45
  5. Step 5: Solve for x
    x = 29,462,216,143.45/280,407.96
  6. Step 6: Final answer
    x = 105,069.11

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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.