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Finding the Fourth Proportional to 514,391.95, 709,853.23 and 284,948.55

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Solution

The fourth proportional to 514,391.95, 709,853.23 and 284,948.55 is: 393,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,391.95 : 709,853.23 = 284,948.55 : x
  2. Step 2: Convert to fraction form
    514,391.95/709,853.23 = 284,948.55/x
  3. Step 3: Cross multiply
    514,391.95x = 709,853.23 × 284,948.55
  4. Step 4: Simplify right side
    514,391.95x = 202,271,648,957.50
  5. Step 5: Solve for x
    x = 202,271,648,957.50/514,391.95
  6. Step 6: Final answer
    x = 393,224.75

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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.