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Finding the Fourth Proportional to 495,200.94, 683,419.59 and 280,378.86

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Solution

The fourth proportional to 495,200.94, 683,419.59 and 280,378.86 is: 386,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,200.94 : 683,419.59 = 280,378.86 : x
  2. Step 2: Convert to fraction form
    495,200.94/683,419.59 = 280,378.86/x
  3. Step 3: Cross multiply
    495,200.94x = 683,419.59 × 280,378.86
  4. Step 4: Simplify right side
    495,200.94x = 191,616,405,545.87
  5. Step 5: Solve for x
    x = 191,616,405,545.87/495,200.94
  6. Step 6: Final answer
    x = 386,946.77

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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.