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Finding the Fourth Proportional to 514,574.50, 710,112.81 and 313,370.50

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Solution

The fourth proportional to 514,574.50, 710,112.81 and 313,370.50 is: 432,451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,574.50 : 710,112.81 = 313,370.50 : x
  2. Step 2: Convert to fraction form
    514,574.50/710,112.81 = 313,370.50/x
  3. Step 3: Cross multiply
    514,574.50x = 710,112.81 × 313,370.50
  4. Step 4: Simplify right side
    514,574.50x = 222,528,406,326.11
  5. Step 5: Solve for x
    x = 222,528,406,326.11/514,574.50
  6. Step 6: Final answer
    x = 432,451.29

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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.