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Finding the Fourth Proportional to 405,952.50, 608,931.28 and 106,430.38

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Solution

The fourth proportional to 405,952.50, 608,931.28 and 106,430.38 is: 159,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,952.50 : 608,931.28 = 106,430.38 : x
  2. Step 2: Convert to fraction form
    405,952.50/608,931.28 = 106,430.38/x
  3. Step 3: Cross multiply
    405,952.50x = 608,931.28 × 106,430.38
  4. Step 4: Simplify right side
    405,952.50x = 64,808,787,524.29
  5. Step 5: Solve for x
    x = 64,808,787,524.29/405,952.50
  6. Step 6: Final answer
    x = 159,646.23

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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.