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Finding the Fourth Proportional to 778,534,734.05, 1,074,262,363.48 and 472,848,691.49

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Solution

The fourth proportional to 778,534,734.05, 1,074,262,363.48 and 472,848,691.49 is: 652,461,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,534,734.05 : 1,074,262,363.48 = 472,848,691.49 : x
  2. Step 2: Convert to fraction form
    778,534,734.05/1,074,262,363.48 = 472,848,691.49/x
  3. Step 3: Cross multiply
    778,534,734.05x = 1,074,262,363.48 × 472,848,691.49
  4. Step 4: Simplify right side
    778,534,734.05x = 507,963,552,888,472,768
  5. Step 5: Solve for x
    x = 507,963,552,888,472,768/778,534,734.05
  6. Step 6: Final answer
    x = 652,461,002.28

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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.