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Finding the Fourth Proportional to 318,827.60, 478,017.72 and 141,238.16

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Solution

The fourth proportional to 318,827.60, 478,017.72 and 141,238.16 is: 211,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,827.60 : 478,017.72 = 141,238.16 : x
  2. Step 2: Convert to fraction form
    318,827.60/478,017.72 = 141,238.16/x
  3. Step 3: Cross multiply
    318,827.60x = 478,017.72 × 141,238.16
  4. Step 4: Simplify right side
    318,827.60x = 67,514,343,220.20
  5. Step 5: Solve for x
    x = 67,514,343,220.20/318,827.60
  6. Step 6: Final answer
    x = 211,758.15

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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.