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Finding the Fourth Proportional to 709,383,547.17, 978,929,659.76 and 391,838,101.83

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Solution

The fourth proportional to 709,383,547.17, 978,929,659.76 and 391,838,101.83 is: 540,725,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,383,547.17 : 978,929,659.76 = 391,838,101.83 : x
  2. Step 2: Convert to fraction form
    709,383,547.17/978,929,659.76 = 391,838,101.83/x
  3. Step 3: Cross multiply
    709,383,547.17x = 978,929,659.76 × 391,838,101.83
  4. Step 4: Simplify right side
    709,383,547.17x = 383,581,939,703,486,912
  5. Step 5: Solve for x
    x = 383,581,939,703,486,912/709,383,547.17
  6. Step 6: Final answer
    x = 540,725,734.67

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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.