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Finding the Fourth Proportional to 513,005.72, 765,751.90 and 452,405.10

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Solution

The fourth proportional to 513,005.72, 765,751.90 and 452,405.10 is: 675,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,005.72 : 765,751.90 = 452,405.10 : x
  2. Step 2: Convert to fraction form
    513,005.72/765,751.90 = 452,405.10/x
  3. Step 3: Cross multiply
    513,005.72x = 765,751.90 × 452,405.10
  4. Step 4: Simplify right side
    513,005.72x = 346,430,064,894.69
  5. Step 5: Solve for x
    x = 346,430,064,894.69/513,005.72
  6. Step 6: Final answer
    x = 675,294.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.