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Finding the Fourth Proportional to 354,935.40, 531,864.40 and 260,228.64

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Solution

The fourth proportional to 354,935.40, 531,864.40 and 260,228.64 is: 389,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,935.40 : 531,864.40 = 260,228.64 : x
  2. Step 2: Convert to fraction form
    354,935.40/531,864.40 = 260,228.64/x
  3. Step 3: Cross multiply
    354,935.40x = 531,864.40 × 260,228.64
  4. Step 4: Simplify right side
    354,935.40x = 138,406,349,476.42
  5. Step 5: Solve for x
    x = 138,406,349,476.42/354,935.40
  6. Step 6: Final answer
    x = 389,948.00

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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.