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Finding the Fourth Proportional to 506,362.88, 698,785.44 and 280,012.16

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Solution

The fourth proportional to 506,362.88, 698,785.44 and 280,012.16 is: 386,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,362.88 : 698,785.44 = 280,012.16 : x
  2. Step 2: Convert to fraction form
    506,362.88/698,785.44 = 280,012.16/x
  3. Step 3: Cross multiply
    506,362.88x = 698,785.44 × 280,012.16
  4. Step 4: Simplify right side
    506,362.88x = 195,668,420,430.95
  5. Step 5: Solve for x
    x = 195,668,420,430.95/506,362.88
  6. Step 6: Final answer
    x = 386,419.36

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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.