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Finding the Fourth Proportional to 713,114.86, 984,106.23 and 390,818.02

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Solution

The fourth proportional to 713,114.86, 984,106.23 and 390,818.02 is: 539,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,114.86 : 984,106.23 = 390,818.02 : x
  2. Step 2: Convert to fraction form
    713,114.86/984,106.23 = 390,818.02/x
  3. Step 3: Cross multiply
    713,114.86x = 984,106.23 × 390,818.02
  4. Step 4: Simplify right side
    713,114.86x = 384,606,443,357.73
  5. Step 5: Solve for x
    x = 384,606,443,357.73/713,114.86
  6. Step 6: Final answer
    x = 539,333.10

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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.