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Finding the Fourth Proportional to 709,822, 1,064,208.12 and 429,276.88

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Solution

The fourth proportional to 709,822, 1,064,208.12 and 429,276.88 is: 643,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,822 : 1,064,208.12 = 429,276.88 : x
  2. Step 2: Convert to fraction form
    709,822/1,064,208.12 = 429,276.88/x
  3. Step 3: Cross multiply
    709,822x = 1,064,208.12 × 429,276.88
  4. Step 4: Simplify right side
    709,822x = 456,839,941,424.27
  5. Step 5: Solve for x
    x = 456,839,941,424.27/709,822
  6. Step 6: Final answer
    x = 643,597.89

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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.