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Finding the Fourth Proportional to 589,360.91, 813,415.89 and 347,702.87

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Solution

The fourth proportional to 589,360.91, 813,415.89 and 347,702.87 is: 479,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,360.91 : 813,415.89 = 347,702.87 : x
  2. Step 2: Convert to fraction form
    589,360.91/813,415.89 = 347,702.87/x
  3. Step 3: Cross multiply
    589,360.91x = 813,415.89 × 347,702.87
  4. Step 4: Simplify right side
    589,360.91x = 282,827,035,389.53
  5. Step 5: Solve for x
    x = 282,827,035,389.53/589,360.91
  6. Step 6: Final answer
    x = 479,887.68

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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.