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Finding the Fourth Proportional to 513,476.77, 770,205.58 and 153,647.84

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Solution

The fourth proportional to 513,476.77, 770,205.58 and 153,647.84 is: 230,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,476.77 : 770,205.58 = 153,647.84 : x
  2. Step 2: Convert to fraction form
    513,476.77/770,205.58 = 153,647.84/x
  3. Step 3: Cross multiply
    513,476.77x = 770,205.58 × 153,647.84
  4. Step 4: Simplify right side
    513,476.77x = 118,340,423,722.95
  5. Step 5: Solve for x
    x = 118,340,423,722.95/513,476.77
  6. Step 6: Final answer
    x = 230,468.89

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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.