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Finding the Fourth Proportional to 542,822.06, 812,946 and 430,139.96

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Solution

The fourth proportional to 542,822.06, 812,946 and 430,139.96 is: 644,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,822.06 : 812,946 = 430,139.96 : x
  2. Step 2: Convert to fraction form
    542,822.06/812,946 = 430,139.96/x
  3. Step 3: Cross multiply
    542,822.06x = 812,946 × 430,139.96
  4. Step 4: Simplify right side
    542,822.06x = 349,680,559,922.16
  5. Step 5: Solve for x
    x = 349,680,559,922.16/542,822.06
  6. Step 6: Final answer
    x = 644,190.03

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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.