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Finding the Fourth Proportional to 551,640.64, 761,024.16 and 347,567.68

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Solution

The fourth proportional to 551,640.64, 761,024.16 and 347,567.68 is: 479,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,640.64 : 761,024.16 = 347,567.68 : x
  2. Step 2: Convert to fraction form
    551,640.64/761,024.16 = 347,567.68/x
  3. Step 3: Cross multiply
    551,640.64x = 761,024.16 × 347,567.68
  4. Step 4: Simplify right side
    551,640.64x = 264,507,401,715.15
  5. Step 5: Solve for x
    x = 264,507,401,715.15/551,640.64
  6. Step 6: Final answer
    x = 479,492.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.