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Finding the Fourth Proportional to 513,902.76, 770,411.16 and 198,580.92

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Solution

The fourth proportional to 513,902.76, 770,411.16 and 198,580.92 is: 297,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,902.76 : 770,411.16 = 198,580.92 : x
  2. Step 2: Convert to fraction form
    513,902.76/770,411.16 = 198,580.92/x
  3. Step 3: Cross multiply
    513,902.76x = 770,411.16 × 198,580.92
  4. Step 4: Simplify right side
    513,902.76x = 152,988,956,931.07
  5. Step 5: Solve for x
    x = 152,988,956,931.07/513,902.76
  6. Step 6: Final answer
    x = 297,700.20

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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.