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Finding the Fourth Proportional to 472,323.58, 705,475.16 and 427,275.64

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Solution

The fourth proportional to 472,323.58, 705,475.16 and 427,275.64 is: 638,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,323.58 : 705,475.16 = 427,275.64 : x
  2. Step 2: Convert to fraction form
    472,323.58/705,475.16 = 427,275.64/x
  3. Step 3: Cross multiply
    472,323.58x = 705,475.16 × 427,275.64
  4. Step 4: Simplify right side
    472,323.58x = 301,432,350,493.10
  5. Step 5: Solve for x
    x = 301,432,350,493.10/472,323.58
  6. Step 6: Final answer
    x = 638,190.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.