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Finding the Fourth Proportional to 519,009.17, 716,282.73 and 315,013.10

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Solution

The fourth proportional to 519,009.17, 716,282.73 and 315,013.10 is: 434,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,009.17 : 716,282.73 = 315,013.10 : x
  2. Step 2: Convert to fraction form
    519,009.17/716,282.73 = 315,013.10/x
  3. Step 3: Cross multiply
    519,009.17x = 716,282.73 × 315,013.10
  4. Step 4: Simplify right side
    519,009.17x = 225,638,439,672.35
  5. Step 5: Solve for x
    x = 225,638,439,672.35/519,009.17
  6. Step 6: Final answer
    x = 434,748.47

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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.