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Finding the Fourth Proportional to 456,427.61, 684,657.02 and 156,905.63

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Solution

The fourth proportional to 456,427.61, 684,657.02 and 156,905.63 is: 235,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,427.61 : 684,657.02 = 156,905.63 : x
  2. Step 2: Convert to fraction form
    456,427.61/684,657.02 = 156,905.63/x
  3. Step 3: Cross multiply
    456,427.61x = 684,657.02 × 156,905.63
  4. Step 4: Simplify right side
    456,427.61x = 107,426,538,026.00
  5. Step 5: Solve for x
    x = 107,426,538,026.00/456,427.61
  6. Step 6: Final answer
    x = 235,363.81

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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.