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Finding the Fourth Proportional to 511,210.53, 705,523.02 and 307,327.45

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Solution

The fourth proportional to 511,210.53, 705,523.02 and 307,327.45 is: 424,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,210.53 : 705,523.02 = 307,327.45 : x
  2. Step 2: Convert to fraction form
    511,210.53/705,523.02 = 307,327.45/x
  3. Step 3: Cross multiply
    511,210.53x = 705,523.02 × 307,327.45
  4. Step 4: Simplify right side
    511,210.53x = 216,826,590,652.90
  5. Step 5: Solve for x
    x = 216,826,590,652.90/511,210.53
  6. Step 6: Final answer
    x = 424,143.44

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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.