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Finding the Fourth Proportional to 528,686.40, 729,567.72 and 286,963.86

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Solution

The fourth proportional to 528,686.40, 729,567.72 and 286,963.86 is: 395,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,686.40 : 729,567.72 = 286,963.86 : x
  2. Step 2: Convert to fraction form
    528,686.40/729,567.72 = 286,963.86/x
  3. Step 3: Cross multiply
    528,686.40x = 729,567.72 × 286,963.86
  4. Step 4: Simplify right side
    528,686.40x = 209,359,569,062.60
  5. Step 5: Solve for x
    x = 209,359,569,062.60/528,686.40
  6. Step 6: Final answer
    x = 395,999.54

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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.