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Finding the Fourth Proportional to 659,668.64, 909,780.78 and 507,076.18

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Solution

The fourth proportional to 659,668.64, 909,780.78 and 507,076.18 is: 699,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,668.64 : 909,780.78 = 507,076.18 : x
  2. Step 2: Convert to fraction form
    659,668.64/909,780.78 = 507,076.18/x
  3. Step 3: Cross multiply
    659,668.64x = 909,780.78 × 507,076.18
  4. Step 4: Simplify right side
    659,668.64x = 461,328,162,559.82
  5. Step 5: Solve for x
    x = 461,328,162,559.82/659,668.64
  6. Step 6: Final answer
    x = 699,333.17

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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.