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Finding the Fourth Proportional to 532,724, 735,159.12 and 306,364.64

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Solution

The fourth proportional to 532,724, 735,159.12 and 306,364.64 is: 422,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,724 : 735,159.12 = 306,364.64 : x
  2. Step 2: Convert to fraction form
    532,724/735,159.12 = 306,364.64/x
  3. Step 3: Cross multiply
    532,724x = 735,159.12 × 306,364.64
  4. Step 4: Simplify right side
    532,724x = 225,226,759,141.52
  5. Step 5: Solve for x
    x = 225,226,759,141.52/532,724
  6. Step 6: Final answer
    x = 422,783.20

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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.