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Finding the Fourth Proportional to 630,778.12, 946,312.10 and 181,502.71

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Solution

The fourth proportional to 630,778.12, 946,312.10 and 181,502.71 is: 272,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,778.12 : 946,312.10 = 181,502.71 : x
  2. Step 2: Convert to fraction form
    630,778.12/946,312.10 = 181,502.71/x
  3. Step 3: Cross multiply
    630,778.12x = 946,312.10 × 181,502.71
  4. Step 4: Simplify right side
    630,778.12x = 171,758,208,063.13
  5. Step 5: Solve for x
    x = 171,758,208,063.13/630,778.12
  6. Step 6: Final answer
    x = 272,295.76

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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.