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Finding the Fourth Proportional to 709,824, 1,064,211.12 and 429,278.88

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Solution

The fourth proportional to 709,824, 1,064,211.12 and 429,278.88 is: 643,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,824 : 1,064,211.12 = 429,278.88 : x
  2. Step 2: Convert to fraction form
    709,824/1,064,211.12 = 429,278.88/x
  3. Step 3: Cross multiply
    709,824x = 1,064,211.12 × 429,278.88
  4. Step 4: Simplify right side
    709,824x = 456,843,357,677.15
  5. Step 5: Solve for x
    x = 456,843,357,677.15/709,824
  6. Step 6: Final answer
    x = 643,600.89

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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.