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Finding the Fourth Proportional to 418,442.81, 577,477.91 and 234,698.63

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Solution

The fourth proportional to 418,442.81, 577,477.91 and 234,698.63 is: 323,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,442.81 : 577,477.91 = 234,698.63 : x
  2. Step 2: Convert to fraction form
    418,442.81/577,477.91 = 234,698.63/x
  3. Step 3: Cross multiply
    418,442.81x = 577,477.91 × 234,698.63
  4. Step 4: Simplify right side
    418,442.81x = 135,533,273,158.77
  5. Step 5: Solve for x
    x = 135,533,273,158.77/418,442.81
  6. Step 6: Final answer
    x = 323,899.16

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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.