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Finding the Fourth Proportional to 280,565.57, 420,848.42 and 70,203.57

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Solution

The fourth proportional to 280,565.57, 420,848.42 and 70,203.57 is: 105,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,565.57 : 420,848.42 = 70,203.57 : x
  2. Step 2: Convert to fraction form
    280,565.57/420,848.42 = 70,203.57/x
  3. Step 3: Cross multiply
    280,565.57x = 420,848.42 × 70,203.57
  4. Step 4: Simplify right side
    280,565.57x = 29,545,061,161.84
  5. Step 5: Solve for x
    x = 29,545,061,161.84/280,565.57
  6. Step 6: Final answer
    x = 105,305.37

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1.5x scale

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.