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Finding the Fourth Proportional to 280,262.92, 386,771.08 and 152,946.76

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Solution

The fourth proportional to 280,262.92, 386,771.08 and 152,946.76 is: 211,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,262.92 : 386,771.08 = 152,946.76 : x
  2. Step 2: Convert to fraction form
    280,262.92/386,771.08 = 152,946.76/x
  3. Step 3: Cross multiply
    280,262.92x = 386,771.08 × 152,946.76
  4. Step 4: Simplify right side
    280,262.92x = 59,155,383,547.70
  5. Step 5: Solve for x
    x = 59,155,383,547.70/280,262.92
  6. Step 6: Final answer
    x = 211,071.03

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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.