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Finding the Fourth Proportional to 559,947.52, 772,728.35 and 305,298.71

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Solution

The fourth proportional to 559,947.52, 772,728.35 and 305,298.71 is: 421,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,947.52 : 772,728.35 = 305,298.71 : x
  2. Step 2: Convert to fraction form
    559,947.52/772,728.35 = 305,298.71/x
  3. Step 3: Cross multiply
    559,947.52x = 772,728.35 × 305,298.71
  4. Step 4: Simplify right side
    559,947.52x = 235,912,964,571.79
  5. Step 5: Solve for x
    x = 235,912,964,571.79/559,947.52
  6. Step 6: Final answer
    x = 421,312.63

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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.