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Finding the Fourth Proportional to 630,498.24, 869,960.16 and 401,146.56

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Solution

The fourth proportional to 630,498.24, 869,960.16 and 401,146.56 is: 553,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,498.24 : 869,960.16 = 401,146.56 : x
  2. Step 2: Convert to fraction form
    630,498.24/869,960.16 = 401,146.56/x
  3. Step 3: Cross multiply
    630,498.24x = 869,960.16 × 401,146.56
  4. Step 4: Simplify right side
    630,498.24x = 348,981,525,521.05
  5. Step 5: Solve for x
    x = 348,981,525,521.05/630,498.24
  6. Step 6: Final answer
    x = 553,501.19

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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.