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Finding the Fourth Proportional to 514,072.98, 709,430.13 and 287,717.94

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Solution

The fourth proportional to 514,072.98, 709,430.13 and 287,717.94 is: 397,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,072.98 : 709,430.13 = 287,717.94 : x
  2. Step 2: Convert to fraction form
    514,072.98/709,430.13 = 287,717.94/x
  3. Step 3: Cross multiply
    514,072.98x = 709,430.13 × 287,717.94
  4. Step 4: Simplify right side
    514,072.98x = 204,115,775,577.53
  5. Step 5: Solve for x
    x = 204,115,775,577.53/514,072.98
  6. Step 6: Final answer
    x = 397,056.03

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1.5x scale

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.