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Finding the Fourth Proportional to 318,648.71, 478,045.08 and 105,416.12

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Solution

The fourth proportional to 318,648.71, 478,045.08 and 105,416.12 is: 158,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,648.71 : 478,045.08 = 105,416.12 : x
  2. Step 2: Convert to fraction form
    318,648.71/478,045.08 = 105,416.12/x
  3. Step 3: Cross multiply
    318,648.71x = 478,045.08 × 105,416.12
  4. Step 4: Simplify right side
    318,648.71x = 50,393,657,893.31
  5. Step 5: Solve for x
    x = 50,393,657,893.31/318,648.71
  6. Step 6: Final answer
    x = 158,148.00

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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.