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Finding the Fourth Proportional to 417,865.72, 575,621.74 and 356,411.71

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Solution

The fourth proportional to 417,865.72, 575,621.74 and 356,411.71 is: 490,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,865.72 : 575,621.74 = 356,411.71 : x
  2. Step 2: Convert to fraction form
    417,865.72/575,621.74 = 356,411.71/x
  3. Step 3: Cross multiply
    417,865.72x = 575,621.74 × 356,411.71
  4. Step 4: Simplify right side
    417,865.72x = 205,158,328,666.58
  5. Step 5: Solve for x
    x = 205,158,328,666.58/417,865.72
  6. Step 6: Final answer
    x = 490,967.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.