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Finding the Fourth Proportional to 588,762, 812,491.56 and 320,490

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Solution

The fourth proportional to 588,762, 812,491.56 and 320,490 is: 442,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,762 : 812,491.56 = 320,490 : x
  2. Step 2: Convert to fraction form
    588,762/812,491.56 = 320,490/x
  3. Step 3: Cross multiply
    588,762x = 812,491.56 × 320,490
  4. Step 4: Simplify right side
    588,762x = 260,395,420,064.40
  5. Step 5: Solve for x
    x = 260,395,420,064.40/588,762
  6. Step 6: Final answer
    x = 442,276.20

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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.