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Finding the Fourth Proportional to 280,011.92, 386,408 and 152,690

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Solution

The fourth proportional to 280,011.92, 386,408 and 152,690 is: 210,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,011.92 : 386,408 = 152,690 : x
  2. Step 2: Convert to fraction form
    280,011.92/386,408 = 152,690/x
  3. Step 3: Cross multiply
    280,011.92x = 386,408 × 152,690
  4. Step 4: Simplify right side
    280,011.92x = 59,000,637,520
  5. Step 5: Solve for x
    x = 59,000,637,520/280,011.92
  6. Step 6: Final answer
    x = 210,707.59

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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.