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Finding the Fourth Proportional to 589,065.84, 812,943.36 and 347,490

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Solution

The fourth proportional to 589,065.84, 812,943.36 and 347,490 is: 479,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,065.84 : 812,943.36 = 347,490 : x
  2. Step 2: Convert to fraction form
    589,065.84/812,943.36 = 347,490/x
  3. Step 3: Cross multiply
    589,065.84x = 812,943.36 × 347,490
  4. Step 4: Simplify right side
    589,065.84x = 282,489,688,166.40
  5. Step 5: Solve for x
    x = 282,489,688,166.40/589,065.84
  6. Step 6: Final answer
    x = 479,555.37

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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.