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Finding the Fourth Proportional to 499,315.49, 748,978.70 and 144,332.58

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Solution

The fourth proportional to 499,315.49, 748,978.70 and 144,332.58 is: 216,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,315.49 : 748,978.70 = 144,332.58 : x
  2. Step 2: Convert to fraction form
    499,315.49/748,978.70 = 144,332.58/x
  3. Step 3: Cross multiply
    499,315.49x = 748,978.70 × 144,332.58
  4. Step 4: Simplify right side
    499,315.49x = 108,102,030,223.05
  5. Step 5: Solve for x
    x = 108,102,030,223.05/499,315.49
  6. Step 6: Final answer
    x = 216,500.45

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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.