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Finding the Fourth Proportional to 778,765,007.10, 1,168,147,510.65 and 472,403,048.70

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Solution

The fourth proportional to 778,765,007.10, 1,168,147,510.65 and 472,403,048.70 is: 708,604,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,765,007.10 : 1,168,147,510.65 = 472,403,048.70 : x
  2. Step 2: Convert to fraction form
    778,765,007.10/1,168,147,510.65 = 472,403,048.70/x
  3. Step 3: Cross multiply
    778,765,007.10x = 1,168,147,510.65 × 472,403,048.70
  4. Step 4: Simplify right side
    778,765,007.10x = 551,836,445,362,375,744
  5. Step 5: Solve for x
    x = 551,836,445,362,375,744/778,765,007.10
  6. Step 6: Final answer
    x = 708,604,573.05

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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.