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Finding the Fourth Proportional to 343,288.80, 514,933.20 and 306,547.20

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Solution

The fourth proportional to 343,288.80, 514,933.20 and 306,547.20 is: 459,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,288.80 : 514,933.20 = 306,547.20 : x
  2. Step 2: Convert to fraction form
    343,288.80/514,933.20 = 306,547.20/x
  3. Step 3: Cross multiply
    343,288.80x = 514,933.20 × 306,547.20
  4. Step 4: Simplify right side
    343,288.80x = 157,851,330,647.04
  5. Step 5: Solve for x
    x = 157,851,330,647.04/343,288.80
  6. Step 6: Final answer
    x = 459,820.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.