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Finding the Fourth Proportional to 282,956.64, 390,476.27 and 153,892.31

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Solution

The fourth proportional to 282,956.64, 390,476.27 and 153,892.31 is: 212,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,956.64 : 390,476.27 = 153,892.31 : x
  2. Step 2: Convert to fraction form
    282,956.64/390,476.27 = 153,892.31/x
  3. Step 3: Cross multiply
    282,956.64x = 390,476.27 × 153,892.31
  4. Step 4: Simplify right side
    282,956.64x = 60,091,292,468.64
  5. Step 5: Solve for x
    x = 60,091,292,468.64/282,956.64
  6. Step 6: Final answer
    x = 212,369.26

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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.