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Finding the Fourth Proportional to 565,532.31, 780,437.13 and 310,899.90

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Solution

The fourth proportional to 565,532.31, 780,437.13 and 310,899.90 is: 429,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,532.31 : 780,437.13 = 310,899.90 : x
  2. Step 2: Convert to fraction form
    565,532.31/780,437.13 = 310,899.90/x
  3. Step 3: Cross multiply
    565,532.31x = 780,437.13 × 310,899.90
  4. Step 4: Simplify right side
    565,532.31x = 242,637,825,673.29
  5. Step 5: Solve for x
    x = 242,637,825,673.29/565,532.31
  6. Step 6: Final answer
    x = 429,043.26

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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.