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Finding the Fourth Proportional to 526,595.43, 726,698.70 and 284,877.30

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Solution

The fourth proportional to 526,595.43, 726,698.70 and 284,877.30 is: 393,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,595.43 : 726,698.70 = 284,877.30 : x
  2. Step 2: Convert to fraction form
    526,595.43/726,698.70 = 284,877.30/x
  3. Step 3: Cross multiply
    526,595.43x = 726,698.70 × 284,877.30
  4. Step 4: Simplify right side
    526,595.43x = 207,019,963,569.51
  5. Step 5: Solve for x
    x = 207,019,963,569.51/526,595.43
  6. Step 6: Final answer
    x = 393,129.05

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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.