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Finding the Fourth Proportional to 656,438.58, 906,187.91 and 384,468.93

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Solution

The fourth proportional to 656,438.58, 906,187.91 and 384,468.93 is: 530,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,438.58 : 906,187.91 = 384,468.93 : x
  2. Step 2: Convert to fraction form
    656,438.58/906,187.91 = 384,468.93/x
  3. Step 3: Cross multiply
    656,438.58x = 906,187.91 × 384,468.93
  4. Step 4: Simplify right side
    656,438.58x = 348,401,094,214.29
  5. Step 5: Solve for x
    x = 348,401,094,214.29/656,438.58
  6. Step 6: Final answer
    x = 530,744.39

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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.