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Finding the Fourth Proportional to 704,728.64, 972,526.12 and 382,438.72

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Solution

The fourth proportional to 704,728.64, 972,526.12 and 382,438.72 is: 527,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,728.64 : 972,526.12 = 382,438.72 : x
  2. Step 2: Convert to fraction form
    704,728.64/972,526.12 = 382,438.72/x
  3. Step 3: Cross multiply
    704,728.64x = 972,526.12 × 382,438.72
  4. Step 4: Simplify right side
    704,728.64x = 371,931,644,499.37
  5. Step 5: Solve for x
    x = 371,931,644,499.37/704,728.64
  6. Step 6: Final answer
    x = 527,765.76

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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.