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Finding the Fourth Proportional to 523,030,643.91, 721,833,305.91 and 390,641,901.39

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Solution

The fourth proportional to 523,030,643.91, 721,833,305.91 and 390,641,901.39 is: 539,123,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,030,643.91 : 721,833,305.91 = 390,641,901.39 : x
  2. Step 2: Convert to fraction form
    523,030,643.91/721,833,305.91 = 390,641,901.39/x
  3. Step 3: Cross multiply
    523,030,643.91x = 721,833,305.91 × 390,641,901.39
  4. Step 4: Simplify right side
    523,030,643.91x = 281,978,335,107,311,904
  5. Step 5: Solve for x
    x = 281,978,335,107,311,904/523,030,643.91
  6. Step 6: Final answer
    x = 539,123,927.81

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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.