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Finding the Fourth Proportional to 565,599.02, 780,531.90 and 310,952

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Solution

The fourth proportional to 565,599.02, 780,531.90 and 310,952 is: 429,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,599.02 : 780,531.90 = 310,952 : x
  2. Step 2: Convert to fraction form
    565,599.02/780,531.90 = 310,952/x
  3. Step 3: Cross multiply
    565,599.02x = 780,531.90 × 310,952
  4. Step 4: Simplify right side
    565,599.02x = 242,707,955,368.80
  5. Step 5: Solve for x
    x = 242,707,955,368.80/565,599.02
  6. Step 6: Final answer
    x = 429,116.65

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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.