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Finding the Fourth Proportional to 553,732.70, 830,080.65 and 433,723.10

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Solution

The fourth proportional to 553,732.70, 830,080.65 and 433,723.10 is: 650,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,732.70 : 830,080.65 = 433,723.10 : x
  2. Step 2: Convert to fraction form
    553,732.70/830,080.65 = 433,723.10/x
  3. Step 3: Cross multiply
    553,732.70x = 830,080.65 × 433,723.10
  4. Step 4: Simplify right side
    553,732.70x = 360,025,152,768.02
  5. Step 5: Solve for x
    x = 360,025,152,768.02/553,732.70
  6. Step 6: Final answer
    x = 650,178.60

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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.