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Finding the Fourth Proportional to 713,065.48, 984,038.22 and 390,768.71

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Solution

The fourth proportional to 713,065.48, 984,038.22 and 390,768.71 is: 539,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,065.48 : 984,038.22 = 390,768.71 : x
  2. Step 2: Convert to fraction form
    713,065.48/984,038.22 = 390,768.71/x
  3. Step 3: Cross multiply
    713,065.48x = 984,038.22 × 390,768.71
  4. Step 4: Simplify right side
    713,065.48x = 384,531,340,899.91
  5. Step 5: Solve for x
    x = 384,531,340,899.91/713,065.48
  6. Step 6: Final answer
    x = 539,265.12

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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.