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Finding the Fourth Proportional to 512,148.47, 706,812.89 and 382,862.90

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Solution

The fourth proportional to 512,148.47, 706,812.89 and 382,862.90 is: 528,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,148.47 : 706,812.89 = 382,862.90 : x
  2. Step 2: Convert to fraction form
    512,148.47/706,812.89 = 382,862.90/x
  3. Step 3: Cross multiply
    512,148.47x = 706,812.89 × 382,862.90
  4. Step 4: Simplify right side
    512,148.47x = 270,612,432,675.50
  5. Step 5: Solve for x
    x = 270,612,432,675.50/512,148.47
  6. Step 6: Final answer
    x = 528,386.69

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1.5x scale

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.