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Finding the Fourth Proportional to 256,330.64, 353,712 and 148,897.76

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Solution

The fourth proportional to 256,330.64, 353,712 and 148,897.76 is: 205,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,330.64 : 353,712 = 148,897.76 : x
  2. Step 2: Convert to fraction form
    256,330.64/353,712 = 148,897.76/x
  3. Step 3: Cross multiply
    256,330.64x = 353,712 × 148,897.76
  4. Step 4: Simplify right side
    256,330.64x = 52,666,924,485.12
  5. Step 5: Solve for x
    x = 52,666,924,485.12/256,330.64
  6. Step 6: Final answer
    x = 205,464.80

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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.