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Finding the Fourth Proportional to 387,952,883, 582,005,986.16 and 142,311,798.64

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Solution

The fourth proportional to 387,952,883, 582,005,986.16 and 142,311,798.64 is: 213,495,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,952,883 : 582,005,986.16 = 142,311,798.64 : x
  2. Step 2: Convert to fraction form
    387,952,883/582,005,986.16 = 142,311,798.64/x
  3. Step 3: Cross multiply
    387,952,883x = 582,005,986.16 × 142,311,798.64
  4. Step 4: Simplify right side
    387,952,883x = 82,826,318,709,676,528
  5. Step 5: Solve for x
    x = 82,826,318,709,676,528/387,952,883
  6. Step 6: Final answer
    x = 213,495,819.57

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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.