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Finding the Fourth Proportional to 528,362.16, 729,140.01 and 286,644.66

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Solution

The fourth proportional to 528,362.16, 729,140.01 and 286,644.66 is: 395,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,362.16 : 729,140.01 = 286,644.66 : x
  2. Step 2: Convert to fraction form
    528,362.16/729,140.01 = 286,644.66/x
  3. Step 3: Cross multiply
    528,362.16x = 729,140.01 × 286,644.66
  4. Step 4: Simplify right side
    528,362.16x = 209,004,090,258.85
  5. Step 5: Solve for x
    x = 209,004,090,258.85/528,362.16
  6. Step 6: Final answer
    x = 395,569.76

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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.