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Finding the Fourth Proportional to 280,419.84, 386,988 and 153,103.68

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Solution

The fourth proportional to 280,419.84, 386,988 and 153,103.68 is: 211,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,419.84 : 386,988 = 153,103.68 : x
  2. Step 2: Convert to fraction form
    280,419.84/386,988 = 153,103.68/x
  3. Step 3: Cross multiply
    280,419.84x = 386,988 × 153,103.68
  4. Step 4: Simplify right side
    280,419.84x = 59,249,286,915.84
  5. Step 5: Solve for x
    x = 59,249,286,915.84/280,419.84
  6. Step 6: Final answer
    x = 211,287.79

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1.5x scale

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.