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Finding the Fourth Proportional to 785,662.16, 1,179,010.02 and 430,925

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Solution

The fourth proportional to 785,662.16, 1,179,010.02 and 430,925 is: 646,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,662.16 : 1,179,010.02 = 430,925 : x
  2. Step 2: Convert to fraction form
    785,662.16/1,179,010.02 = 430,925/x
  3. Step 3: Cross multiply
    785,662.16x = 1,179,010.02 × 430,925
  4. Step 4: Simplify right side
    785,662.16x = 508,064,892,868.50
  5. Step 5: Solve for x
    x = 508,064,892,868.50/785,662.16
  6. Step 6: Final answer
    x = 646,670.95

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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.