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Finding the Fourth Proportional to 430,246.59, 645,663.92 and 149,763.84

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Solution

The fourth proportional to 430,246.59, 645,663.92 and 149,763.84 is: 224,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,246.59 : 645,663.92 = 149,763.84 : x
  2. Step 2: Convert to fraction form
    430,246.59/645,663.92 = 149,763.84/x
  3. Step 3: Cross multiply
    430,246.59x = 645,663.92 × 149,763.84
  4. Step 4: Simplify right side
    430,246.59x = 96,697,107,259.83
  5. Step 5: Solve for x
    x = 96,697,107,259.83/430,246.59
  6. Step 6: Final answer
    x = 224,748.11

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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.