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Finding the Fourth Proportional to 524,492, 723,798.96 and 286,028

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Solution

The fourth proportional to 524,492, 723,798.96 and 286,028 is: 394,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,492 : 723,798.96 = 286,028 : x
  2. Step 2: Convert to fraction form
    524,492/723,798.96 = 286,028/x
  3. Step 3: Cross multiply
    524,492x = 723,798.96 × 286,028
  4. Step 4: Simplify right side
    524,492x = 207,026,768,930.88
  5. Step 5: Solve for x
    x = 207,026,768,930.88/524,492
  6. Step 6: Final answer
    x = 394,718.64

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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.