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Finding the Fourth Proportional to 514,019.94, 709,669.50 and 330,333

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Solution

The fourth proportional to 514,019.94, 709,669.50 and 330,333 is: 456,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,019.94 : 709,669.50 = 330,333 : x
  2. Step 2: Convert to fraction form
    514,019.94/709,669.50 = 330,333/x
  3. Step 3: Cross multiply
    514,019.94x = 709,669.50 × 330,333
  4. Step 4: Simplify right side
    514,019.94x = 234,427,254,943.50
  5. Step 5: Solve for x
    x = 234,427,254,943.50/514,019.94
  6. Step 6: Final answer
    x = 456,066.46

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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.