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Finding the Fourth Proportional to 280,878.04, 387,617.70 and 153,565.48

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Solution

The fourth proportional to 280,878.04, 387,617.70 and 153,565.48 is: 211,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,878.04 : 387,617.70 = 153,565.48 : x
  2. Step 2: Convert to fraction form
    280,878.04/387,617.70 = 153,565.48/x
  3. Step 3: Cross multiply
    280,878.04x = 387,617.70 × 153,565.48
  4. Step 4: Simplify right side
    280,878.04x = 59,524,698,157.00
  5. Step 5: Solve for x
    x = 59,524,698,157.00/280,878.04
  6. Step 6: Final answer
    x = 211,923.65

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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.