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Finding the Fourth Proportional to 528,564.62, 729,424.52 and 286,849.28

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Solution

The fourth proportional to 528,564.62, 729,424.52 and 286,849.28 is: 395,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,564.62 : 729,424.52 = 286,849.28 : x
  2. Step 2: Convert to fraction form
    528,564.62/729,424.52 = 286,849.28/x
  3. Step 3: Cross multiply
    528,564.62x = 729,424.52 × 286,849.28
  4. Step 4: Simplify right side
    528,564.62x = 209,234,898,376.35
  5. Step 5: Solve for x
    x = 209,234,898,376.35/528,564.62
  6. Step 6: Final answer
    x = 395,854.91

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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.