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Finding the Fourth Proportional to 506,728.92, 758,578.02 and 306,443.16

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Solution

The fourth proportional to 506,728.92, 758,578.02 and 306,443.16 is: 458,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,728.92 : 758,578.02 = 306,443.16 : x
  2. Step 2: Convert to fraction form
    506,728.92/758,578.02 = 306,443.16/x
  3. Step 3: Cross multiply
    506,728.92x = 758,578.02 × 306,443.16
  4. Step 4: Simplify right side
    506,728.92x = 232,461,045,555.34
  5. Step 5: Solve for x
    x = 232,461,045,555.34/506,728.92
  6. Step 6: Final answer
    x = 458,748.33

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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.