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Finding the Fourth Proportional to 704,857.64, 971,968.29 and 418,322.37

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Solution

The fourth proportional to 704,857.64, 971,968.29 and 418,322.37 is: 576,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,857.64 : 971,968.29 = 418,322.37 : x
  2. Step 2: Convert to fraction form
    704,857.64/971,968.29 = 418,322.37/x
  3. Step 3: Cross multiply
    704,857.64x = 971,968.29 × 418,322.37
  4. Step 4: Simplify right side
    704,857.64x = 406,596,071,686.19
  5. Step 5: Solve for x
    x = 406,596,071,686.19/704,857.64
  6. Step 6: Final answer
    x = 576,848.50

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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.