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Finding the Fourth Proportional to 280,988.64, 387,767.39 and 153,661.50

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Solution

The fourth proportional to 280,988.64, 387,767.39 and 153,661.50 is: 212,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,988.64 : 387,767.39 = 153,661.50 : x
  2. Step 2: Convert to fraction form
    280,988.64/387,767.39 = 153,661.50/x
  3. Step 3: Cross multiply
    280,988.64x = 387,767.39 × 153,661.50
  4. Step 4: Simplify right side
    280,988.64x = 59,584,918,030.18
  5. Step 5: Solve for x
    x = 59,584,918,030.18/280,988.64
  6. Step 6: Final answer
    x = 212,054.54

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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.