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Finding the Fourth Proportional to 424,424.84, 585,409.70 and 288,222.32

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Solution

The fourth proportional to 424,424.84, 585,409.70 and 288,222.32 is: 397,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,424.84 : 585,409.70 = 288,222.32 : x
  2. Step 2: Convert to fraction form
    424,424.84/585,409.70 = 288,222.32/x
  3. Step 3: Cross multiply
    424,424.84x = 585,409.70 × 288,222.32
  4. Step 4: Simplify right side
    424,424.84x = 168,728,144,068.58
  5. Step 5: Solve for x
    x = 168,728,144,068.58/424,424.84
  6. Step 6: Final answer
    x = 397,545.41

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1.5x scale

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.