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Finding the Fourth Proportional to 315,047,713.20, 472,571,569.80 and 85,016,428.80

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Solution

The fourth proportional to 315,047,713.20, 472,571,569.80 and 85,016,428.80 is: 127,524,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,047,713.20 : 472,571,569.80 = 85,016,428.80 : x
  2. Step 2: Convert to fraction form
    315,047,713.20/472,571,569.80 = 85,016,428.80/x
  3. Step 3: Cross multiply
    315,047,713.20x = 472,571,569.80 × 85,016,428.80
  4. Step 4: Simplify right side
    315,047,713.20x = 40,176,347,216,805,928
  5. Step 5: Solve for x
    x = 40,176,347,216,805,928/315,047,713.20
  6. Step 6: Final answer
    x = 127,524,643.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.