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Finding the Fourth Proportional to 578,073,746.43, 797,742,360.48 and 313,755,793.98

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Solution

The fourth proportional to 578,073,746.43, 797,742,360.48 and 313,755,793.98 is: 432,983,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,073,746.43 : 797,742,360.48 = 313,755,793.98 : x
  2. Step 2: Convert to fraction form
    578,073,746.43/797,742,360.48 = 313,755,793.98/x
  3. Step 3: Cross multiply
    578,073,746.43x = 797,742,360.48 × 313,755,793.98
  4. Step 4: Simplify right side
    578,073,746.43x = 250,296,287,703,881,792
  5. Step 5: Solve for x
    x = 250,296,287,703,881,792/578,073,746.43
  6. Step 6: Final answer
    x = 432,983,316.14

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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.