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Finding the Fourth Proportional to 319,135.37, 478,746.83 and 141,638.45

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Solution

The fourth proportional to 319,135.37, 478,746.83 and 141,638.45 is: 212,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,135.37 : 478,746.83 = 141,638.45 : x
  2. Step 2: Convert to fraction form
    319,135.37/478,746.83 = 141,638.45/x
  3. Step 3: Cross multiply
    319,135.37x = 478,746.83 × 141,638.45
  4. Step 4: Simplify right side
    319,135.37x = 67,808,958,235.42
  5. Step 5: Solve for x
    x = 67,808,958,235.42/319,135.37
  6. Step 6: Final answer
    x = 212,477.10

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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.