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Finding the Fourth Proportional to 569,969.74, 786,514.89 and 315,315.46

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Solution

The fourth proportional to 569,969.74, 786,514.89 and 315,315.46 is: 435,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,969.74 : 786,514.89 = 315,315.46 : x
  2. Step 2: Convert to fraction form
    569,969.74/786,514.89 = 315,315.46/x
  3. Step 3: Cross multiply
    569,969.74x = 786,514.89 × 315,315.46
  4. Step 4: Simplify right side
    569,969.74x = 248,000,304,337.20
  5. Step 5: Solve for x
    x = 248,000,304,337.20/569,969.74
  6. Step 6: Final answer
    x = 435,111.35

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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.