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Finding the Fourth Proportional to 528,753.12, 729,680.64 and 287,036.16

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Solution

The fourth proportional to 528,753.12, 729,680.64 and 287,036.16 is: 396,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,753.12 : 729,680.64 = 287,036.16 : x
  2. Step 2: Convert to fraction form
    528,753.12/729,680.64 = 287,036.16/x
  3. Step 3: Cross multiply
    528,753.12x = 729,680.64 × 287,036.16
  4. Step 4: Simplify right side
    528,753.12x = 209,444,728,931.94
  5. Step 5: Solve for x
    x = 209,444,728,931.94/528,753.12
  6. Step 6: Final answer
    x = 396,110.63

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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.