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Finding the Fourth Proportional to 357,642.76, 536,710.18 and 147,280.68

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Solution

The fourth proportional to 357,642.76, 536,710.18 and 147,280.68 is: 221,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,642.76 : 536,710.18 = 147,280.68 : x
  2. Step 2: Convert to fraction form
    357,642.76/536,710.18 = 147,280.68/x
  3. Step 3: Cross multiply
    357,642.76x = 536,710.18 × 147,280.68
  4. Step 4: Simplify right side
    357,642.76x = 79,047,040,273.32
  5. Step 5: Solve for x
    x = 79,047,040,273.32/357,642.76
  6. Step 6: Final answer
    x = 221,022.34

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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.