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Finding the Fourth Proportional to 512,650.98, 702,320.16 and 493,483.68

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Solution

The fourth proportional to 512,650.98, 702,320.16 and 493,483.68 is: 676,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,650.98 : 702,320.16 = 493,483.68 : x
  2. Step 2: Convert to fraction form
    512,650.98/702,320.16 = 493,483.68/x
  3. Step 3: Cross multiply
    512,650.98x = 702,320.16 × 493,483.68
  4. Step 4: Simplify right side
    512,650.98x = 346,583,537,094.99
  5. Step 5: Solve for x
    x = 346,583,537,094.99/512,650.98
  6. Step 6: Final answer
    x = 676,061.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.