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Finding the Fourth Proportional to 709,194,044.52, 978,703,268.22 and 391,653,643.50

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Solution

The fourth proportional to 709,194,044.52, 978,703,268.22 and 391,653,643.50 is: 540,490,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,194,044.52 : 978,703,268.22 = 391,653,643.50 : x
  2. Step 2: Convert to fraction form
    709,194,044.52/978,703,268.22 = 391,653,643.50/x
  3. Step 3: Cross multiply
    709,194,044.52x = 978,703,268.22 × 391,653,643.50
  4. Step 4: Simplify right side
    709,194,044.52x = 383,312,700,903,720,768
  5. Step 5: Solve for x
    x = 383,312,700,903,720,768/709,194,044.52
  6. Step 6: Final answer
    x = 540,490,580.63

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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.