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Finding the Fourth Proportional to 475,911.51, 712,915.30 and 286,267.22

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Solution

The fourth proportional to 475,911.51, 712,915.30 and 286,267.22 is: 428,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,911.51 : 712,915.30 = 286,267.22 : x
  2. Step 2: Convert to fraction form
    475,911.51/712,915.30 = 286,267.22/x
  3. Step 3: Cross multiply
    475,911.51x = 712,915.30 × 286,267.22
  4. Step 4: Simplify right side
    475,911.51x = 204,084,281,026.47
  5. Step 5: Solve for x
    x = 204,084,281,026.47/475,911.51
  6. Step 6: Final answer
    x = 428,828.21

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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.