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Finding the Fourth Proportional to 708,852,148.56, 978,231,624.13 and 391,311,642.40

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Solution

The fourth proportional to 708,852,148.56, 978,231,624.13 and 391,311,642.40 is: 540,018,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,852,148.56 : 978,231,624.13 = 391,311,642.40 : x
  2. Step 2: Convert to fraction form
    708,852,148.56/978,231,624.13 = 391,311,642.40/x
  3. Step 3: Cross multiply
    708,852,148.56x = 978,231,624.13 × 391,311,642.40
  4. Step 4: Simplify right side
    708,852,148.56x = 382,793,423,483,973,312
  5. Step 5: Solve for x
    x = 382,793,423,483,973,312/708,852,148.56
  6. Step 6: Final answer
    x = 540,018,710.90

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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.