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Finding the Fourth Proportional to 528,238.62, 728,963.92 and 286,516

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Solution

The fourth proportional to 528,238.62, 728,963.92 and 286,516 is: 395,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,238.62 : 728,963.92 = 286,516 : x
  2. Step 2: Convert to fraction form
    528,238.62/728,963.92 = 286,516/x
  3. Step 3: Cross multiply
    528,238.62x = 728,963.92 × 286,516
  4. Step 4: Simplify right side
    528,238.62x = 208,859,826,502.72
  5. Step 5: Solve for x
    x = 208,859,826,502.72/528,238.62
  6. Step 6: Final answer
    x = 395,389.16

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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.