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Finding the Fourth Proportional to 532,210.72, 734,432.56 and 317,240

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Solution

The fourth proportional to 532,210.72, 734,432.56 and 317,240 is: 437,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,210.72 : 734,432.56 = 317,240 : x
  2. Step 2: Convert to fraction form
    532,210.72/734,432.56 = 317,240/x
  3. Step 3: Cross multiply
    532,210.72x = 734,432.56 × 317,240
  4. Step 4: Simplify right side
    532,210.72x = 232,991,385,334.40
  5. Step 5: Solve for x
    x = 232,991,385,334.40/532,210.72
  6. Step 6: Final answer
    x = 437,780.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.