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Finding the Fourth Proportional to 514,038.99, 709,448.29 and 296,205.28

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Solution

The fourth proportional to 514,038.99, 709,448.29 and 296,205.28 is: 408,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,038.99 : 709,448.29 = 296,205.28 : x
  2. Step 2: Convert to fraction form
    514,038.99/709,448.29 = 296,205.28/x
  3. Step 3: Cross multiply
    514,038.99x = 709,448.29 × 296,205.28
  4. Step 4: Simplify right side
    514,038.99x = 210,142,329,384.97
  5. Step 5: Solve for x
    x = 210,142,329,384.97/514,038.99
  6. Step 6: Final answer
    x = 408,806.21

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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.