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Finding the Fourth Proportional to 528,657.28, 729,527.50 and 286,934.66

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Solution

The fourth proportional to 528,657.28, 729,527.50 and 286,934.66 is: 395,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,657.28 : 729,527.50 = 286,934.66 : x
  2. Step 2: Convert to fraction form
    528,657.28/729,527.50 = 286,934.66/x
  3. Step 3: Cross multiply
    528,657.28x = 729,527.50 × 286,934.66
  4. Step 4: Simplify right side
    528,657.28x = 209,326,721,525.51
  5. Step 5: Solve for x
    x = 209,326,721,525.51/528,657.28
  6. Step 6: Final answer
    x = 395,959.22

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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.