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Finding the Fourth Proportional to 427,434.03, 640,308.51 and 347,562.16

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Solution

The fourth proportional to 427,434.03, 640,308.51 and 347,562.16 is: 520,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,434.03 : 640,308.51 = 347,562.16 : x
  2. Step 2: Convert to fraction form
    427,434.03/640,308.51 = 347,562.16/x
  3. Step 3: Cross multiply
    427,434.03x = 640,308.51 × 347,562.16
  4. Step 4: Simplify right side
    427,434.03x = 222,547,008,801.98
  5. Step 5: Solve for x
    x = 222,547,008,801.98/427,434.03
  6. Step 6: Final answer
    x = 520,658.14

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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.