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Finding the Fourth Proportional to 709,821, 1,064,206.62 and 429,275.88

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Solution

The fourth proportional to 709,821, 1,064,206.62 and 429,275.88 is: 643,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,821 : 1,064,206.62 = 429,275.88 : x
  2. Step 2: Convert to fraction form
    709,821/1,064,206.62 = 429,275.88/x
  3. Step 3: Cross multiply
    709,821x = 1,064,206.62 × 429,275.88
  4. Step 4: Simplify right side
    709,821x = 456,838,233,302.33
  5. Step 5: Solve for x
    x = 456,838,233,302.33/709,821
  6. Step 6: Final answer
    x = 643,596.39

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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.