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Finding the Fourth Proportional to 713,002.14, 983,927.52 and 390,705.30

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Solution

The fourth proportional to 713,002.14, 983,927.52 and 390,705.30 is: 539,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,002.14 : 983,927.52 = 390,705.30 : x
  2. Step 2: Convert to fraction form
    713,002.14/983,927.52 = 390,705.30/x
  3. Step 3: Cross multiply
    713,002.14x = 983,927.52 × 390,705.30
  4. Step 4: Simplify right side
    713,002.14x = 384,425,696,879.86
  5. Step 5: Solve for x
    x = 384,425,696,879.86/713,002.14
  6. Step 6: Final answer
    x = 539,164.86

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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.