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Finding the Fourth Proportional to 470,385.71, 705,472.25 and 217,527.74

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Solution

The fourth proportional to 470,385.71, 705,472.25 and 217,527.74 is: 326,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,385.71 : 705,472.25 = 217,527.74 : x
  2. Step 2: Convert to fraction form
    470,385.71/705,472.25 = 217,527.74/x
  3. Step 3: Cross multiply
    470,385.71x = 705,472.25 × 217,527.74
  4. Step 4: Simplify right side
    470,385.71x = 153,459,779,560.22
  5. Step 5: Solve for x
    x = 153,459,779,560.22/470,385.71
  6. Step 6: Final answer
    x = 326,242.44

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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.