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Finding the Fourth Proportional to 479,981, 720,088.14 and 147,557

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Solution

The fourth proportional to 479,981, 720,088.14 and 147,557 is: 221,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,981 : 720,088.14 = 147,557 : x
  2. Step 2: Convert to fraction form
    479,981/720,088.14 = 147,557/x
  3. Step 3: Cross multiply
    479,981x = 720,088.14 × 147,557
  4. Step 4: Simplify right side
    479,981x = 106,254,045,673.98
  5. Step 5: Solve for x
    x = 106,254,045,673.98/479,981
  6. Step 6: Final answer
    x = 221,371.36

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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.