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Finding the Fourth Proportional to 640,547.10, 883,917 and 354,050.10

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Solution

The fourth proportional to 640,547.10, 883,917 and 354,050.10 is: 488,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,547.10 : 883,917 = 354,050.10 : x
  2. Step 2: Convert to fraction form
    640,547.10/883,917 = 354,050.10/x
  3. Step 3: Cross multiply
    640,547.10x = 883,917 × 354,050.10
  4. Step 4: Simplify right side
    640,547.10x = 312,950,902,241.70
  5. Step 5: Solve for x
    x = 312,950,902,241.70/640,547.10
  6. Step 6: Final answer
    x = 488,568.14

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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.