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Finding the Fourth Proportional to 528,497.96, 729,225.06 and 313,828.52

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Solution

The fourth proportional to 528,497.96, 729,225.06 and 313,828.52 is: 433,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,497.96 : 729,225.06 = 313,828.52 : x
  2. Step 2: Convert to fraction form
    528,497.96/729,225.06 = 313,828.52/x
  3. Step 3: Cross multiply
    528,497.96x = 729,225.06 × 313,828.52
  4. Step 4: Simplify right side
    528,497.96x = 228,851,621,326.71
  5. Step 5: Solve for x
    x = 228,851,621,326.71/528,497.96
  6. Step 6: Final answer
    x = 433,022.71

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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.