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Finding the Fourth Proportional to 509,411.20, 763,630.80 and 189,477.40

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Solution

The fourth proportional to 509,411.20, 763,630.80 and 189,477.40 is: 284,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,411.20 : 763,630.80 = 189,477.40 : x
  2. Step 2: Convert to fraction form
    509,411.20/763,630.80 = 189,477.40/x
  3. Step 3: Cross multiply
    509,411.20x = 763,630.80 × 189,477.40
  4. Step 4: Simplify right side
    509,411.20x = 144,690,778,543.92
  5. Step 5: Solve for x
    x = 144,690,778,543.92/509,411.20
  6. Step 6: Final answer
    x = 284,035.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.