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Finding the Fourth Proportional to 423,478.98, 634,657.86 and 310,630.86

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Solution

The fourth proportional to 423,478.98, 634,657.86 and 310,630.86 is: 465,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,478.98 : 634,657.86 = 310,630.86 : x
  2. Step 2: Convert to fraction form
    423,478.98/634,657.86 = 310,630.86/x
  3. Step 3: Cross multiply
    423,478.98x = 634,657.86 × 310,630.86
  4. Step 4: Simplify right side
    423,478.98x = 197,144,316,857.56
  5. Step 5: Solve for x
    x = 197,144,316,857.56/423,478.98
  6. Step 6: Final answer
    x = 465,535.07

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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.