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Finding the Fourth Proportional to 499,430.68, 749,048.28 and 415,728.52

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Solution

The fourth proportional to 499,430.68, 749,048.28 and 415,728.52 is: 623,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,430.68 : 749,048.28 = 415,728.52 : x
  2. Step 2: Convert to fraction form
    499,430.68/749,048.28 = 415,728.52/x
  3. Step 3: Cross multiply
    499,430.68x = 749,048.28 × 415,728.52
  4. Step 4: Simplify right side
    499,430.68x = 311,400,732,852.95
  5. Step 5: Solve for x
    x = 311,400,732,852.95/499,430.68
  6. Step 6: Final answer
    x = 623,511.42

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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.