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Finding the Fourth Proportional to 514,800.28, 710,367.06 and 299,895.40

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Solution

The fourth proportional to 514,800.28, 710,367.06 and 299,895.40 is: 413,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,800.28 : 710,367.06 = 299,895.40 : x
  2. Step 2: Convert to fraction form
    514,800.28/710,367.06 = 299,895.40/x
  3. Step 3: Cross multiply
    514,800.28x = 710,367.06 × 299,895.40
  4. Step 4: Simplify right side
    514,800.28x = 213,035,813,605.52
  5. Step 5: Solve for x
    x = 213,035,813,605.52/514,800.28
  6. Step 6: Final answer
    x = 413,822.26

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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.