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Finding the Fourth Proportional to 408,966,282.40, 613,225,474.80 and 166,355,082.40

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Solution

The fourth proportional to 408,966,282.40, 613,225,474.80 and 166,355,082.40 is: 249,441,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,966,282.40 : 613,225,474.80 = 166,355,082.40 : x
  2. Step 2: Convert to fraction form
    408,966,282.40/613,225,474.80 = 166,355,082.40/x
  3. Step 3: Cross multiply
    408,966,282.40x = 613,225,474.80 × 166,355,082.40
  4. Step 4: Simplify right side
    408,966,282.40x = 102,013,174,390,133,120
  5. Step 5: Solve for x
    x = 102,013,174,390,133,120/408,966,282.40
  6. Step 6: Final answer
    x = 249,441,528.02

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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.