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Finding the Fourth Proportional to 506,903.28, 699,501.60 and 289,120.56

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Solution

The fourth proportional to 506,903.28, 699,501.60 and 289,120.56 is: 398,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,903.28 : 699,501.60 = 289,120.56 : x
  2. Step 2: Convert to fraction form
    506,903.28/699,501.60 = 289,120.56/x
  3. Step 3: Cross multiply
    506,903.28x = 699,501.60 × 289,120.56
  4. Step 4: Simplify right side
    506,903.28x = 202,240,294,312.90
  5. Step 5: Solve for x
    x = 202,240,294,312.90/506,903.28
  6. Step 6: Final answer
    x = 398,972.16

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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.