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Finding the Fourth Proportional to 707,100.65, 975,820.91 and 401,189.93

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Solution

The fourth proportional to 707,100.65, 975,820.91 and 401,189.93 is: 553,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,100.65 : 975,820.91 = 401,189.93 : x
  2. Step 2: Convert to fraction form
    707,100.65/975,820.91 = 401,189.93/x
  3. Step 3: Cross multiply
    707,100.65x = 975,820.91 × 401,189.93
  4. Step 4: Simplify right side
    707,100.65x = 391,489,519,349.71
  5. Step 5: Solve for x
    x = 391,489,519,349.71/707,100.65
  6. Step 6: Final answer
    x = 553,654.58

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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.