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Finding the Fourth Proportional to 506,106.72, 698,400 and 279,738.72

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Solution

The fourth proportional to 506,106.72, 698,400 and 279,738.72 is: 386,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,106.72 : 698,400 = 279,738.72 : x
  2. Step 2: Convert to fraction form
    506,106.72/698,400 = 279,738.72/x
  3. Step 3: Cross multiply
    506,106.72x = 698,400 × 279,738.72
  4. Step 4: Simplify right side
    506,106.72x = 195,369,522,048.00
  5. Step 5: Solve for x
    x = 195,369,522,048.00/506,106.72
  6. Step 6: Final answer
    x = 386,024.36

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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.