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Finding the Fourth Proportional to 513,477.76, 770,207.08 and 153,648.84

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Solution

The fourth proportional to 513,477.76, 770,207.08 and 153,648.84 is: 230,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,477.76 : 770,207.08 = 153,648.84 : x
  2. Step 2: Convert to fraction form
    513,477.76/770,207.08 = 153,648.84/x
  3. Step 3: Cross multiply
    513,477.76x = 770,207.08 × 153,648.84
  4. Step 4: Simplify right side
    513,477.76x = 118,341,424,401.79
  5. Step 5: Solve for x
    x = 118,341,424,401.79/513,477.76
  6. Step 6: Final answer
    x = 230,470.40

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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.