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Finding the Fourth Proportional to 707,597.40, 976,420.26 and 421,071.24

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Solution

The fourth proportional to 707,597.40, 976,420.26 and 421,071.24 is: 581,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,597.40 : 976,420.26 = 421,071.24 : x
  2. Step 2: Convert to fraction form
    707,597.40/976,420.26 = 421,071.24/x
  3. Step 3: Cross multiply
    707,597.40x = 976,420.26 × 421,071.24
  4. Step 4: Simplify right side
    707,597.40x = 411,142,489,639.32
  5. Step 5: Solve for x
    x = 411,142,489,639.32/707,597.40
  6. Step 6: Final answer
    x = 581,040.14

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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.