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Finding the Fourth Proportional to 707,235.84, 976,032 and 405,434.88

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Solution

The fourth proportional to 707,235.84, 976,032 and 405,434.88 is: 559,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,235.84 : 976,032 = 405,434.88 : x
  2. Step 2: Convert to fraction form
    707,235.84/976,032 = 405,434.88/x
  3. Step 3: Cross multiply
    707,235.84x = 976,032 × 405,434.88
  4. Step 4: Simplify right side
    707,235.84x = 395,717,416,796.16
  5. Step 5: Solve for x
    x = 395,717,416,796.16/707,235.84
  6. Step 6: Final answer
    x = 559,526.81

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1.5x scale

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.