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Finding the Fourth Proportional to 528,632.16, 729,180.57 and 313,620

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Solution

The fourth proportional to 528,632.16, 729,180.57 and 313,620 is: 432,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,632.16 : 729,180.57 = 313,620 : x
  2. Step 2: Convert to fraction form
    528,632.16/729,180.57 = 313,620/x
  3. Step 3: Cross multiply
    528,632.16x = 729,180.57 × 313,620
  4. Step 4: Simplify right side
    528,632.16x = 228,685,610,363.40
  5. Step 5: Solve for x
    x = 228,685,610,363.40/528,632.16
  6. Step 6: Final answer
    x = 432,598.75

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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.