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Finding the Fourth Proportional to 506,782.68, 699,312.48 and 343,106.28

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Solution

The fourth proportional to 506,782.68, 699,312.48 and 343,106.28 is: 473,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,782.68 : 699,312.48 = 343,106.28 : x
  2. Step 2: Convert to fraction form
    506,782.68/699,312.48 = 343,106.28/x
  3. Step 3: Cross multiply
    506,782.68x = 699,312.48 × 343,106.28
  4. Step 4: Simplify right side
    506,782.68x = 239,938,503,570.37
  5. Step 5: Solve for x
    x = 239,938,503,570.37/506,782.68
  6. Step 6: Final answer
    x = 473,454.43

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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.