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Finding the Fourth Proportional to 528,614.16, 729,155.75 and 313,602

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Solution

The fourth proportional to 528,614.16, 729,155.75 and 313,602 is: 432,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,614.16 : 729,155.75 = 313,602 : x
  2. Step 2: Convert to fraction form
    528,614.16/729,155.75 = 313,602/x
  3. Step 3: Cross multiply
    528,614.16x = 729,155.75 × 313,602
  4. Step 4: Simplify right side
    528,614.16x = 228,664,699,943.49
  5. Step 5: Solve for x
    x = 228,664,699,943.49/528,614.16
  6. Step 6: Final answer
    x = 432,573.92

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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.