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Finding the Fourth Proportional to 473,157,374.40, 708,674,378.40 and 388,222,718.40

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Solution

The fourth proportional to 473,157,374.40, 708,674,378.40 and 388,222,718.40 is: 581,462,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,157,374.40 : 708,674,378.40 = 388,222,718.40 : x
  2. Step 2: Convert to fraction form
    473,157,374.40/708,674,378.40 = 388,222,718.40/x
  3. Step 3: Cross multiply
    473,157,374.40x = 708,674,378.40 × 388,222,718.40
  4. Step 4: Simplify right side
    473,157,374.40x = 275,123,493,642,878,208
  5. Step 5: Solve for x
    x = 275,123,493,642,878,208/473,157,374.40
  6. Step 6: Final answer
    x = 581,462,973.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.