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Finding the Fourth Proportional to 478,225.77, 716,551.32 and 334,146.21

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Solution

The fourth proportional to 478,225.77, 716,551.32 and 334,146.21 is: 500,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,225.77 : 716,551.32 = 334,146.21 : x
  2. Step 2: Convert to fraction form
    478,225.77/716,551.32 = 334,146.21/x
  3. Step 3: Cross multiply
    478,225.77x = 716,551.32 × 334,146.21
  4. Step 4: Simplify right side
    478,225.77x = 239,432,906,414.48
  5. Step 5: Solve for x
    x = 239,432,906,414.48/478,225.77
  6. Step 6: Final answer
    x = 500,669.19

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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.