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Finding the Fourth Proportional to 435,812.16, 653,700.48 and 120,261

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Solution

The fourth proportional to 435,812.16, 653,700.48 and 120,261 is: 180,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,812.16 : 653,700.48 = 120,261 : x
  2. Step 2: Convert to fraction form
    435,812.16/653,700.48 = 120,261/x
  3. Step 3: Cross multiply
    435,812.16x = 653,700.48 × 120,261
  4. Step 4: Simplify right side
    435,812.16x = 78,614,673,425.28
  5. Step 5: Solve for x
    x = 78,614,673,425.28/435,812.16
  6. Step 6: Final answer
    x = 180,386.60

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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.